{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-colab"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/pathwaycom/pathway/blob/main/examples/notebooks/tutorials/upsampling.ipynb\" target=\"_parent\"><img src=\"https://pathway.com/assets/colab-badge.svg\" alt=\"Run In Colab\" class=\"inline\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "notebook-instructions",
      "source": [
        "# Installing Pathway with Python 3.10+\n",
        "\n",
        "In the cell below, we install Pathway into a Python 3.10+ Linux runtime.\n",
        "\n",
        "> **If you are running in Google Colab, please run the colab notebook (Ctrl+F9)**, disregarding the 'not authored by Google' warning.\n",
        "> \n",
        "> **The installation and loading time is less than 1 minute**.\n"
      ],
      "metadata": {}
    },
    {
      "cell_type": "code",
      "id": "pip-installation-pathway",
      "source": [
        "%%capture --no-display\n",
        "!pip install --prefer-binary pathway"
      ],
      "execution_count": null,
      "outputs": [],
      "metadata": {}
    },
    {
      "cell_type": "code",
      "id": "logging",
      "source": [
        "import logging\n",
        "\n",
        "logging.basicConfig(level=logging.CRITICAL)"
      ],
      "execution_count": null,
      "outputs": [],
      "metadata": {}
    },
    {
      "cell_type": "markdown",
      "id": "4",
      "metadata": {},
      "source": [
        "# Signal Processing with Real-time Upsampling: combining multiple time series data streams..\n",
        "Learn how to perform upsampling on multiple data streams. The data streams will be modelled as time series data and will have different sampling rates to begin with.\n",
        "Using upsampling techniques in Python, you will align the sampling rates of the multiple data sources in order to perform data analysis over the entire stream.\n",
        "\n",
        "It is common practice to use [Digital Signal Processing](/glossary/digital-signal-processing) (DSP) in order to analyze and manipulate time series data.\n",
        "The time series can be considered as signals and by applying filters, you can remove the noise and do feature extraction on your data.\n",
        "However, when working with multiple time series you are likely to run into the issue of data misalignment due to different sampling rates.\n",
        "This issue needs to be addressed if you want to extract valuable insights from your time series data using digital signal processing.\n",
        "In this article, you will learn how to use upsampling to align the sampling rates of your multiple time series data sources.\n",
        "\n",
        "## Upsampling: Working with Messy Real-World Data\n",
        "This tutorial builds on the [Gaussian Filtering](/developers/templates/gaussian_filtering_python) tutorial which explains how you can smooth out a messy, out-of-order data stream.\n",
        "While digital signal processing systems assume neatly ordered signals arriving at a regular and precise sampling rate, this is rarely the case in [real-world applications](/blog/iot-data-analytics/).\n",
        "Irregular and out-of-order data streams are a common occurrence in the real world of data processing.\n",
        "Data streams may be sampled at irregular intervals, leading to variations in the time between samples. The resulting data is noisy and contains gaps.\n",
        "\n",
        "This upsampling tutorial adds another layer of complexity: you will learn how work with *multiple* data sources simultaneously.\n",
        "This is an important skill to master because analyzing multiple data sources together is a common method to improve the quality of an analysis.\n",
        "For example, you can improve the accuracy of any metric by averaging the measures of different sensors measuring it.\n",
        "\n",
        "In addition to the noisy, late, and out-of-order data points, you will now face a new challenge: **data streams have different sampling rates.**\n",
        "This will result in significant data misalignment which you will have to deal with in order to extract meaningful information from your data.\n",
        "This challenge requires a different approach to data processing compared to idealized signal processing, where the focus is on precise time alignment.\n",
        "In particular, to align two data sources with different sampling rate, you will need to do something called **upsampling**.\n",
        "\n",
        "# What is Upsampling?\n",
        "\n",
        "[Upsampling](/glossary/upsampling) is a [signal processing](/glossary/signal-processing) technique used to increase the sampling rate of a signal.\n",
        "Upsampling is generally used to improve a signal and applications include improving the quality of images, increasing the accuracy of digital filters, or data enrichment.\n",
        "\n",
        "## Upsampling: Combining Data Streams with Different Sampling Rates\n",
        "\n",
        "In many real-world scenarios, you may need to process data from multiple sources, each with its own sampling rate.\n",
        "To work on both signals at the same time, it's important to have the same sampling rate in both signals. This can be done with [resampling](/glossary/resampling).\n",
        "Resampling is the process of changing the sampling rate or the number of samples in a signal or data set. There are two primary types of resampling:\n",
        " 1. **Upsampling** consists of increasing the sampling rate by adding new data points between existing ones to achieve a higher temporal or spatial resolution. It is used to increase the clarity of a signal or match the sampling rate of one signal to that of another for compatibility. New values are obtained by doing an **interpolation**.\n",
        " 2. **[Downsampling](/glossary/downsampling)**, on the other hand, consists of decreasing the sampling rates by removing data points. It is typically used to reduce data volume, decrease computational complexity, and meet application storage or transmission constraints.\n",
        "\n",
        "For example, consider a simple scenario: you are training to run your first marathon.\n",
        "You would like to monitor your performance, so you buy a GPS watch.\n",
        "After your first run, you read out the data and notice that sometimes the measurements of the watch are not very precise.\n",
        "Fortunately, you have another source of GPS data points: your phone!\n",
        "You plan to join the two streams to increase their accuracy.\n",
        "\n",
        "Unfortunately, the time series are very different.\n",
        "While your phone outputs roughly one value per second, your GPS watch has only one recording every five seconds.\n",
        "You will need to upsample your watch's data to match the sampling rate of your phone.\n",
        "\n",
        "Don't worry, Pathway allows you to aggregate and process data from these diverse sources easily.\n",
        "Let's see how to do upsampling with Pathway.\n",
        "\n",
        "### The data\n",
        "First, we need data. For privacy issues, we will not work on real GPS traces, but we will generate artificial data.\n",
        "For simplicity, let's focus on a single non-normalized variable. It can represent the latitude, for example.\n",
        "You need two time series with the same distribution but different sampling rates."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "5",
      "metadata": {
        "lines_to_end_of_cell_marker": 2
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "np.random.seed(10)\n",
        "\n",
        "# Generate x values\n",
        "def generate_x_values(nb_points):\n",
        "    x = np.linspace(0, 10000, nb_points)\n",
        "    x_noise = np.random.normal(0, 2, nb_points)\n",
        "    x = x + x_noise\n",
        "    x = np.sort(x)\n",
        "    return x\n",
        "\n",
        "\n",
        "nb_points_A = 1000\n",
        "nb_points_B = 200\n",
        "\n",
        "# Generate x values\n",
        "x_A = generate_x_values(nb_points_A)\n",
        "x_B = generate_x_values(nb_points_B)\n",
        "\n",
        "# Generate y values with periodic patterns\n",
        "periodic_pattern_A = 50 * np.sin(2 * np.pi * x_A / 1000)  # Periodic pattern\n",
        "periodic_pattern_B = 50 * np.sin(2 * np.pi * x_B / 1000)  # Periodic pattern\n",
        "noise_A = (0.001 * 10000) * np.random.normal(0, 1, nb_points_A)\n",
        "noise_B = (0.001 * 10000) * np.random.normal(0, 1, nb_points_B)\n",
        "\n",
        "# Combine trend and periodic pattern to create y values\n",
        "y_A = periodic_pattern_A + noise_A\n",
        "y_B = periodic_pattern_B + noise_B"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "6",
      "metadata": {
        "lines_to_next_cell": 2
      },
      "source": [
        "Let's plot the signal:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "7",
      "metadata": {
        "lines_to_end_of_cell_marker": 2
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "def set_params_plot():\n",
        "    plt.xlabel(\"time\")\n",
        "    plt.ylabel(\"value\")\n",
        "    plt.xticks([], [])\n",
        "    plt.yticks([], [])\n",
        "    plt.title(\"\")\n",
        "\n",
        "\n",
        "# Plot the data points\n",
        "plt.subplot(2, 1, 1)\n",
        "plt.plot(x_A, y_A, \"x\", label=\"time series A\")\n",
        "plt.legend()\n",
        "set_params_plot()\n",
        "\n",
        "plt.subplot(2, 1, 2)\n",
        "plt.plot(x_B, y_B, \"x\", color=\"#ff7f0e\", label=\"time series B\")\n",
        "plt.legend()\n",
        "set_params_plot()\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "8",
      "metadata": {
        "lines_to_next_cell": 2
      },
      "source": [
        "We can clearly see that the trend is the same, but the first source has clearly more data points.\n",
        "\n",
        "Let's zoom on the first data points:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "9",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "def set_params_plot_zoom():\n",
        "    plt.xlabel(\"time\")\n",
        "    plt.ylabel(\"value\")\n",
        "    plt.xticks([], [])\n",
        "    plt.yticks([], [])\n",
        "    plt.xlim([0, 300])\n",
        "    plt.title(\"\")\n",
        "\n",
        "\n",
        "plt.subplot(3, 1, 1)\n",
        "plt.plot(x_A, y_A, \"x\", label=\"time series A\")\n",
        "plt.plot(x_B, y_B, \"x\", color=\"#ff7f0e\", label=\"time series B\")\n",
        "plt.legend(loc=4)\n",
        "set_params_plot_zoom()\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "10",
      "metadata": {},
      "source": [
        "As we can see, not only the sampling rates are not the same, but the times are not aligned.\n",
        "\n",
        "Let's load the data in Pathway before doing the upsampling:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "11",
      "metadata": {},
      "outputs": [],
      "source": [
        "import pathway as pw\n",
        "\n",
        "# To use advanced features with Pathway Scale, get your free license key from\n",
        "# https://pathway.com/features and paste it below.\n",
        "# To use Pathway Community, comment out the line below.\n",
        "pw.set_license_key(\"demo-license-key-with-telemetry\")\n",
        "\n",
        "import pandas as pd\n",
        "\n",
        "\n",
        "def load_to_pathway(x, y):\n",
        "    time_series_pd = pd.DataFrame({\"x\": x, \"y\": y})\n",
        "    return pw.debug.table_from_pandas(time_series_pd)\n",
        "\n",
        "\n",
        "data_stream_A = load_to_pathway(x_A, y_A)\n",
        "data_stream_B = load_to_pathway(x_B, y_B)"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "12",
      "metadata": {},
      "source": [
        "## Upsampling with `windowby`\n",
        "\n",
        "While you could [combine the data streams](/developers/templates/combining_time_series) by keeping the union of the timestamps, this would mean altering two time series. Instead, upsampling alters only one data stream and thereby limits the imprecision introduced by the operation.\n",
        "\n",
        "To do upsampling, you want to obtain an aggregation of the closest points of time series B for each point of the time series A, and then do an interpolation to obtain the value at the given time for time series B.\n",
        "\n",
        "However, when dealing with streaming data, you do not have any assumption on the distribution of surrounding points.\n",
        "You can ask for a fixed number of previous/next points, but you'd take the risk to obtain points with very different timestamps.\n",
        "The solution is to ask for the data points in an interval around your point using a `windowby` with `intervals_over`.\n",
        "If you need a quick reminder on how it works, don't hesitate to read the [tutorial about Gaussian filter](/developers/templates/gaussian_filtering_python#interval-joins-and-windowby).\n",
        "\n",
        "Unlike applying a Gaussian filter, upsampling requires using two different tables.\n",
        "You will do the `windowby` over the time series B (the one you want to upsample) and compute the intervals over the time series A (the one on which you want to align, with the higher sampling rate).\n",
        "You must keep all the times and values within the intervals to be able to do the interpolation.\n",
        "\n",
        "We set the length of the interval to 200 to be sure to have enough data points to do the interpolation:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "13",
      "metadata": {
        "lines_to_next_cell": 2
      },
      "outputs": [],
      "source": [
        "upsampled_stream = data_stream_B.windowby(\n",
        "    data_stream_B.x,\n",
        "    window=pw.temporal.intervals_over(\n",
        "        at=data_stream_A.x, lower_bound=-100.0, upper_bound=100.0, is_outer=False\n",
        "    ),\n",
        ").reduce(\n",
        "    x=pw.this._pw_window_location,\n",
        "    xs=pw.reducers.ndarray(pw.this.x),\n",
        "    ys=pw.reducers.ndarray(pw.this.y),\n",
        ")"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "14",
      "metadata": {
        "lines_to_next_cell": 2
      },
      "source": [
        "Now, let's define the interpolation as a UDF:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "15",
      "metadata": {},
      "outputs": [],
      "source": [
        "@pw.udf\n",
        "def linear_interpolate(times: np.ndarray, values: np.ndarray, time_new: int) -> float:\n",
        "    idx = np.argsort(times)\n",
        "    times = times[idx]\n",
        "    values = values[idx]\n",
        "    return np.interp(time_new, times, values, left=values[0], right=values[-1])"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "16",
      "metadata": {},
      "source": [
        "With this, you simply need to apply the interpolation to each window:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "17",
      "metadata": {},
      "outputs": [],
      "source": [
        "upsampled_stream = upsampled_stream.select(\n",
        "    pw.this.x, y=linear_interpolate(pw.this.xs, pw.this.ys, pw.this.x)\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "18",
      "metadata": {},
      "outputs": [],
      "source": [
        "upsampled_stream_pd = pw.debug.table_to_pandas(upsampled_stream)\n",
        "upsampled_stream_pd = upsampled_stream_pd.sort_values(by=[\"x\"])"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "19",
      "metadata": {},
      "source": [
        "Let's plot the resulting plots:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "20",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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WrvZ4hqU3rhQqZ3vzLgL+a0encRSCbF6fUhlbT8omPKrWYjQfyQumu5dL5S3l3nAeluWvDwNB1yjKAgIC5aRJlHqhwd8OHXNInWVZfTa/Lqh5YoidD0o5rELgm6zccDlp0D2c50cWyJtKKAWPqvS+0W9+6eJ1jhdBjoPuz/yZ47X3pvCcQVWF8uRxNVi6Zru2c62/46U2u2tLAvC0FlOpApQCuM1WiRKHbdOpG0J3dzcqKioC/WyORCKBk8qTeO/4CbS++x7qmUdL94KK3ip83zt+AkeOn/CEnkudqPrh6NGjADI7euQLQ+x8UOphFcBLIvi/AbfyrRTCefzayWMAuMZ48rgaNNbXeMKyuhEeAt9Imlr2YfK4k9Hc2uEUg3ztiszn+QFDd8FsnjMoSQFVIDbW13jeo/vBAugfHUJkWgDdL5IJKVWpJ6l3KfOkw7TpAwYMwJAhQ/Duu+9i4MCBKCsrC+Rz9713HB3vHQeQbtllWehJJFFRBhw+0o0d7x9HbfVJzusqypMYUW7LaeiG97vta3y/+zhOHjrIeZyPsWboIOf6R5QD7w9O4K/7D2W8p1RhWRaOHj2Kd955B5WVlRnt0fJFv9ax4+irhlsSNxUZklVwOo5VegwIqpAKkJlrp9u45PXy+yHHKFMBSkHrjkJelMc0fPAAHDp2IkNrkFf/6joWoHfNS92vvzf4pZ2Q5hv9vxTHGfe66e7uxq5du5x+pEHg3cPHcfxECsMrBmD44IHYd/g4jp1IYfAAmzgeO5FCIgHQ7k6v0xWHjr2PQ10nMLxiAGAB3SdSOHYihUEDyjBoYJlz7YeOvQ9YwPCKgZ5/9xVUVlbitNNOU/a1NTp2OYBXTCXLEhkeLXq8qWUfmlv3a+3RkuAklXuIypPuabGppSNjQ9VZYoOPgzaZ4YMHoLG+JoP02fqD+zyhZt28kjI/sLG+xuPtIkJEFb6llu+5ak4jxn7zWfSkd5ZDx06gPJlwCkIA4Mmt7dib9gQ1t3Zg0859+MWXJsV52RmQBz5VvlYpkh0JVeUon58WSiOHVUKHdVNeXo6GhgZ0d3cH8nk/29yGR5v+igtGjcCE0UPw+Ul1GAvgjif/hJfbD2BCbSVe2XsQqfTamz25Dp+/sC6Q7w4TP9vchkfXtzl/T6itxPc/+yHnbxrf7Ml1+Pw5dZFfX9gYOHBg0Z46Qr8ldkTkeHiBcpgAeLwmpWS4uXgvAIfccSOtgpTY0BEypHLo2AnnfknDvbezC2WJBG5Yvtkh5jqNS1Zb89w5InXlyTJMHFujJBBEAnUld8vW7gAPBSQAdPfYj0hPJQBn7ukGVUXykjXbsXTNdqd7gSr3UyfvcC6Q10rz06kcVeR+6godxZbLysoC6zzx3okyXN84DgBw32+3Y/3OA1g1pxE/vMmWSnrm9Q7P67tSyUC7XoSF906U4a3DPY6H+M3XOzB+UzvmzmjwpAPMmf6BuC9Ve/RbYufVbXJDYIRSJHWAvRERqSPj1dSyz5fUyU1KZ50+1WZDHqHmVvt+NbXsc16v6z308yJ096ScpHXaSKmjRm1VBXpSlqcykciQLvmeckPlhyPysB465lbtJQDs2X/U8drpOPdUnjpKwgegzBfUzTucL6QHnP9f14MER29iy4311b7rphRIOb82mc8qUSr3DLALd3jYv7aqwrM/1VZVaGkjdES/JXaA12hTE3lOFkox9CA3Iu4d4ZCbriqpWCfIzYZaA9H9otAy4B2bbvewt5wsToDkWJ/atlfrJHbu3RrFWjXRveCkDrDH6kfqdNpgVZWVNO9KQYImH/j1xOaP604U5s5ocFJoVGLLRIb6AinnguZjv/ksJFVtrHdzdwF975mqcKc97aAgsrfxzstjvcZSQjAlOiWMuTMaUJ4sc8gcJ3UUeig1zJ3R4GucJo+rwfyZ4z3J+YA9bl3Hyg3uqjmNmDyuxmkF1GNZqK3yyghwUqfbPZS5THzDBIDypB1ipopEMnDDBw9wGpjrSOoAe9411ttdQXjLt3zhtHzSSDh27owGj6e4ZdFVnoKk8Xf9RlmItNTnYKUDlq7ZnrE2aH6mWH4n4NqUi+uqnf7MOoMI3ZI12zH2m896CBv3Pl76vXUASrsIZtWcRiQTCQ+pk6lFOt8zad/nzxzvkDqCBWTMVd3XV5zo1x47IDO8R7jt8rMAlI5mnQRp18ml3NTSgS2t+52/ye09Ku32pvfqhE079zm5TPJklwAyjACQmXMH6DEu7oHiBq0nZTkehCVrtjskjv5P3i7dk9ifuHWSk9dIJJSfvlVQSaPotsHKbgWUa0beHylBUwreH1X+IBUbqQrGdLofvYF7WcnjQ3+T1w4A9h7ocrq96DbncsWytTs8e5cUlqbw8xO36lWYROD2HVDvXcMHD1B6x40uphr92mNHk2NU2vND4OEG+rdOXp9cMGtFcwapI9BYhw8egF3f+zjmzxzvhMR0HOslZ53sVFOSR0GeUmXiPRlu8jQsWbMdNyzfHPGVZwf33s1L/597W2ls/D7q6IXkWLrG7jVanixzrtuP1MmcVpXXSwfww8Rtl5/lWSc8nNfdk8INyzdrS04l5NpYtnaH8tpvWL7Zd+2UitfEgpfU0f2k9STJkM7gnla6X8MHuz4aEpYuFZB9p2uesnidx+Yly+woBpG7WSuaPekCOnn2dUG/8dipOi/IBG+pJcbJna5ubBUo54IgddEI5545AkBmIYluY+XXRxsOeVAIJHOyNx2ibWrpwKWL1+H3Gudl0Ckzm4YiR9RtkAqBRxRbeMEliBTR3NRReFlV6CILCebPHO9ItzS37s+owtYpX1CCr63mtCefrn3pmu14qW2/87jshqKzFBS/b1wRQOp40tzjXlhdQXaCd3fh0QvKzR0+eIBHWLoUDhg0lvPv+a0jjdTdY7Fcajdq4UpaudJcxmvnRb/x2NFioJMOzyUBMuVNUk7VWzVWzWksmUlzw/LNnnFQPh0/0RG4phjPodFxrJS/tWTNdoxbuBpNLR0YNMA7fUdVVXjyM/Z2djmnu/kzx2sbiuBzk3dp4CCyOmtFs6e9mK6eOwC4eGxVxjgAOI89ubXdI3NiS6Lo5Y2UOZE9KctjK3rLKdQxX1CC8owlqCJ78rgaj5eSxqSjjBCQGQanAwNHihW+8Hw08lzq6IXkhyay62QXADi5uYeOnXDSOHgKi45jIqya0+hcO+BKI9EYesT5cG+asALQfn3FgX7jsaNKKVoY82aO92icAcDujiMehfLG+mpMHFvjIYMyR0rXkzjPWfjl1nZPOIzLTujq+VHBbr/l9rI8fiLleOkAoLl1P95k46RKZx29kByykpnnpFEOZDvzRAJwqkh1GpdflxMJqmbm3tVSyIkkDxb3Dm/bfQDNrfszpFxIdkfnkCyXp+F5xlICiUc0+D3VdVxExoHM8CuBvJCc+NDjunohZeSCF0cA7r3iRT4X11WXRL4nAFxz4agM/Usg07MPIJ2/u0/bw0Xc6DceO8BbKTX+rt84i5uEXsfUnAQAjtt+8riTnVOSPBXoehJ/4tZJzmmOTtftguyQlAahqWWftuMhLE2HHgi06UhPCZ3wqNLZkbHRdFwEv4rSeWkDDrhju7iu2nmPTocKv/7K9MsnWZscIucyVMTzvnTy3AHwaAfuTRe1kK0gbwndq+bW/VqTOgAe2zZ/5ni0LLrKsQtUcMBzCHnRlW4hc455PqSOFAE4yAvOK9N5NXCcUFUt8/Xx0PPuc+XJMkcxgNZWj2XhpbbMeaiL906OL1mWUOaFL1mzPSOVyAIMqcuCfkXseGI6uee5+KbUNfKD7snRfPE/+Ly7gInseMdskwRdx0OLn4eFuGyBH7gHIu5uGioDTeBG9olbJzkFIclEwrmHP1y303l9Y32NVmSOYx6bP+SxovFMHlfjIQ7kiVTdG5q/Ongj+b2j66LUBlm119d0tnjBgdT31C1kLkGHDE7q/HQ6yctFnmNdUjZk+hDgPeDS/SAx8ymL1znhWZqbvJvQsrU7cMPyzdoc4Gl8s1Y0Z8g+EWS6jV+RnIEX/SYUu1Qxmbt7Up48BSlwy/MZADibbCmUxss2Yiqh0aaWDu0byvO8ErrmxvqarIn5PBxB74kzMVrKSqhaHgFe2QK5iZYny3Db5Wd5euDqCpLLkJ0LeNs6/n/VvdFhLvLQa3NrB1bNafQkenMcOnbCU7RE962pZZ8WY1FBhixJfHnyuBpsSac80HMcXAqqqWWfNkSIg9YHSWmopHTqvvms83pq4adTwYuq6wlvF0nosSxH53LQgLKMKnS+9gB9igH5WpJi5vTv4ye8HZMy11e8tl1X9BtiJxNPOenhC4Fc2qRtROBESbcwhKqqkvT5JGS3DR3Hw8FV5KWKOockemSodagilQZazkWZWyYPFmTEmls7PGr6OkKlzUdVzNxzQhunzqr4FHrlhSu8kpKDNPsApFtWnezMW103Hk5aeEcNGiPNOwIngeQ50W180hb+4ks26eTtxObOaMAl31vreR8v3KGcZB1y0rjtkP2+uYoD5XceP5HKyPcEkEGYco1OhY1Vcxpx6eJ12NvZlXGNnOiRh5+e5x03dD48xYV+Q+w4mls7lKLEZMhmrWj2NGinsBJ/TCdjxsvfOZHh8h/8+Z6UW0ZO47lh+WY8ceskLU6qEnRdREYJfLF/7QqXABLkfYrzlMoNtKzQoyIewCV6/IR94ZhKlLFCEF3mnQp+eXaUF0j9buXzvA+uLnOP3zPp1ZfgM6sskXDI7eRxJ2tLXAk3LN+c0SZNXXBg2w8e3mys18P7Q1CJLgNuasDkcSdj2dodePPAMc/7KC2AFzDpcr9k9IXselNLB7a2dXpeS2LmKlFwHm7WZWwA8Ps7L/e0Q1N59fkMU3n/ddqPdUC/IXYy54KSS2kBjKqqwO/vvNzJU6BTAW26PFHTLffv0EIehLu0SbtILgzudQDcRHw68TW37ncWiw4nVYmelJsQDLgeutqqCtRWD8nIz5g8rsYjaaDDopde39suPwtL1mx3igtkdw06eW9p3e+pUJy1olmLeUfgXhJ5TZKsqbynfE3pNvekt1VCekfKk+rNUzfiytMB6FAxsb7aIXKkywe4866ppQPjFq52wrUX1+lRZMDB79eTW9vx2YtqAbiJ9vQcv2+0B3ASe136fTqAoi90kKUxLVmz3UP23uzscvJzr7uo1vHCEnTIN+bgc9AjSJxIOC3tuIec71eykl6nw4UO6DfEjlrlEKmjqi9OgogUEQm6Yflmj3wGYe6MBvwyrcGlC8ilzfuJ8kbeALBiY2uGu5ue/yXTFNNl4XO81Lbfs/gvHlvleLHahWwG4ErTxB2G5SADzUNcXPmeTp7co0pztSzhLfvnoZS4CYOfl0RF1lR5Q7oWI3HCKjdJABimCHmR/pZ90NqHiWNrPPNQF+K6ZVeHx0sMuJ7J9s4uh9TxzXPpmu2OZ8+vEEEH8IOuTHmgDhpcGUDacV0Kd4BMIX2KvsgigkNd7zukrocdaDloX9DFu6XKn6brpxxdKZ8kPZRA/HZdR/QbYgd4xUVpw6ytqvDE611Fctt1T6TBPtHtc8Jk9DiFmHTAZy+qxZI12z0ubZkXQ0aMLxDatHQbD4EIOYF7IwlnVlXguotqfZPw4zbU3EDLvD8id9Svl/7m5C5lIWOTAqCFlzVfsqbKG9KN1AHuxvPLre3KQp3DgtRx0HwtSyQySB0RxjjJOGlCElRFIVL2gxMHXciBH1bNaXS8iwQq6gG8a4gXURB08KryvEB+qKPOEhwUfr0uvQcQuM2X4ea4lQJeanPnn9yrAGDP/qOe+ySjHXHbdJ3Rr4gdJUPzCdTe2eUYAFvKYJ9nQ5InJsoFyFY+rwsoH001HlogPSnLOYXrKNfAjRvXIeTiw5Tn42eo4t6A5ByataLZ6WwCABfVVaGppcPxklDYhXuTVeCHkbjHmC9Z07kYiUCe+fbOLid0p8pdygbuFQe8ByxdyLgqMb88WeZUu6raqulADrKBKsxVHiySeALsvqQcstl8nFAJLbfvP+o7/9o7u5xrp/lqe/ernVzPphZbXDtuUsQLk2g8fA7KdaaKduhAvnVFvyF2fh6EJSy8AMBzigUyvRF0atWF1EnpDL4geCI0AFz/yGaP5AstEDJ+VEChE1TJ+GQASFk9bgPcG/gYZB9fCiFLAscPD9LzIKUpdJmL+ZC1G5Zv9i1Giju0TCBxb9okk4mEx4OfDfI1sq+nDh5KbtskqeM6ddJuqjy0OkAlIzR3RoNn/djapTbJ+fHGVoesX3PhKKzctMvTbB5wvc9xzEf5fVQQJ6GajzxFQFbR7+3sil3Hjs+hyeNqsLWtUynNRbmppXawiBv9htj5Ves5zwsSRBpNKmmJHsvSJoGd5ynQAp88rgabWSUReR1UraoAN2laN+kCINO4yZNb3AYqF/Ax8PJ+8srxVmEEeuz8e37r8TwQSF1ep9B5rmSNh8So4pd7VGgdxk3wyGb0pCz8cN1O5z7QGuLt7DjovnJIEdy4w2BSHolAJIfsyqiqCmUnBl1SHDj8ZIT4upEeoWTCTuN4qW2/Q+qI7DW17ANvWxUn/Ip4kokEzhTEjh8SaRwyn1KH+9ZbYRIncdzLqnqfDgdBndBviJ2KINAGIsMQfOJwDx6vxNSlcILrvMnQnewzyhc/z5fhIU2dT0J95eQmy/v5fZGV23Ty/toVmcbMAjx5KnGCS7ZIskYVlvNnjs/ICeTJ03xTpufi3FB5JS8n16OqKvDZi2rR1LJPSezovkri53yGBmEwquqXdqy9swsvte3HqjmNzn0bXT0k4zPiJt0qcFsIeCuwATc8uWTNdpxZOdj5m17P5aEsC8p8PJ3ACw0Ab0Ecob2zy7Evuo6DwJUCAPt+ynA0OVtoHJx46zgn40K/IXYEriYv24t196Q8k0rG/DfeebmzMRG508HD9cStk5yNlfdzHMjyEWhxc+KXLEugJ13Fl7IsLU/hBFUoXdeQUG9QNboG3JxIWbl9ZrqoolaEYXSZg9wDl61pPA9HEjEncHFfQJ8Wd1JwmXei4N01CFxGg0gd97ZS/844IQslGuur8SYjAJQHStefEoUjulX4cnDNS4I8tAJwdOz4vRldPcQpQCPENQelV1WOCfDK05At8OvIo2Meq6qADIDTShFQh6O5s0XK2Og4J+NAv+oVC3gbeQPuZKA2OYB9CpCdG9o7uzD+rt847yXvmC4kiPqMkleAt6IiwkDl7vNnjvc8b3uJ3DCsjicev1D63Bn69BXNBX49EQE3HWDyuBrHo2rBJgjUMogCz6NY2H3JGv9etFGA7g31UZUyEqOqKjyVzLK9Exds3rb7gJakjtYFNVrnhzsAaTHimgz5k+GDBzhefvqbyHic4GRt2+4DzlwikJ3gtgHQv082YNsEytCgfGiyExyjqio8JKippcPTlzlOMiT7xJJKA4GvJ9qPasV4OHTs7Utjmj9zPLbf9zGH0Nleucy9de6MBs++LVOndJ6TUaNfeezoFOROIG9I6MzKwRhTc5KTbyYrMYkI8ZZIupAgGS7q6bE8pyDeOxVARoWR7uQo2+9cKotZVsf6VbyqQpWHjp1wvHjlyTL8/s7LPZ8X571Tnao53jl0HHtZmgC161N5zHWqks2li8aZVRVOaEgm6g8aUOYpuuD3PW4v88SxNZg87mRPsQtvpZhMeHPweMGO/E10soUUkUlZUOZ6co8W1+oDvEUkcXcY8qYD2fsRhYplKgpdv8pjx72Vcc85DvLyZ4vAyLZnJHvFx6izXFKc6FfEjk5B82eOR2N9NZpb93vCrUTqADs8QRWil7KSeB0r+OQCp4VxyvBBjvHiOVpU8j4qvSnRez05RZoY6kKQLTk8zrFxHUVeHSlzPAF4NlHKIyFSp2qVpsu9Uon5qogDeelU81aXln1+v6nf43S4KkvYuoMTRlfipV2dGX2LqUdu3GRcFiLJVop0D/g9lYRPt7AshcqlZ5iHnjkxoEOE9GZRBCdOMsSJTjKR8JA6/jzZB3lQlB5lSe7itoXZNC5JdoxfKz8U63gQ1An9itjxhTJ/5nhs230go8SactXIU8dzTWSbKv5ZcUFF6mSfR/IQ8FDL3rS6fFnC9WAS6LVL12yPjTAUQ87y6YQQJebNHI+la7Y7mzqdSPlmOqqqAm8fOOYQBMAVk6XDBo2jqWWfdvI0s1Y0K6t4OXEoS8DJZ/Wbt3FuqIXMvWyFPXF7fwD/nC36/Z9knWekgDbgVmGTIgB/TdweYwJ5dGT/UG4L+UEJcOclt5Vk4ykUHTe5yyYhRAUG1IWHclTpbwr9N9bXOGPvSVmxCZvTPFTZbr62+Bqi8Uv9R90OgjqhXxE7oPcSa75xcq0wcmfbuTRuY++4XcD85LOUbSxkaFOs6pV7jBrrq53FT+OQJz/pCo8SxZAzeY950nvcYST+PbmQgWzzTDd5Gtm9RcrwqJ5bsbEVh4+d8IST+OYaB3nNd+71lnemg/eHj4muRVWZTK0UJ4872UNq6DkiCrxnbNy2gsBtoSQFgFuYIxPuKYLxWda5ht/TONNUpFdVtd658D5/jhf60VieuHVSrMLm+bYf5JqlLmnfl3EPecWsThGMuNDviJ0EL7Fubu1wEm35hGqsr8GmnfsczxcVI5C+E5GDONoEkRdo2dodnu/lYVUAHvc1NwC0yLe07vcYal2qwbgR4KfM3q5NhjFUDbDj9OBxb4dqLBfVVSHFpAwI5FFW6VHFGVrh3hJ+COLeklHp0FBjfY0zz6gtF72Ob8xy7FEh34PBpp37PI/ze2sfrFxySnbm4rrqSO0FH1NjfbVnU6RcYvrdKQxGHv7G+mpP20XA9eDpoMtHmOdDCsoSwO1XqJPsm1r24c9vHcqQreHPU7/fKCHVGzhZpfkzj9kA1T2QrTKlsyIOYXOSpPFbWwCcSJFMDVDJjHGPbHPrfi00B3VAvyN2fiXWvN1TY31NhgQK7zFLoSbu3YuzTVAupyAKO0t3vuxsELehprHQ6Yu8BtwgAfANEy9dsx1bdnU4G5U88V26eB2uZQKscY2Ve0+lwj8nOeQdlt4HQK8ws5/neO6MBkeQ+bMX1QJwc4J4L1zuQciHwIeFfA4GXDwV8N5bkj9RhQV56CzqMZE9kL8x3bMblm/OCM3y8QBudxSd8o0JqhZUKgIkUxtUXnGVSH3YILJTW1Xhyamj+dO+/ygAm8xm+71lWJ32rji71VBqiVxbgGsDOSHlY6ACEiKqsqOLSky7P6LfETteYu1XWaQKGTXW13j69PVYFqYsXuepdotyI5IEBvCGl7koLABfd75UZpfJ0VHDWw1mn764jAv3BqmQLEs4J7fm1o4M4763s8vpIhD2/cqWq5Uss9uh0Xi4F0U1lx563t2opIinDhIUKm8xgVfw0r3gByWSduEhvtqY+1nSvXM6nKSvj8tPyHAQYN8PGj/3cKk2ISCz3VPY6C1ni0CbL69ilsn58jeJ62DRW/6g7P8twW0O2cY419TSNduRSq+B9s4uT04jkev2PNqCyYKmHsuKNYWDH3zIrvN9l/Yu7lXk94jeS+/TpaOLTuhXxK63Emup46RK1CRQ26C4whGcwADq3EF5CpJ5XPQcXyg8OTou8LHQtfJm3vK35oadGw068Z5ZVeEJ61GVYtj3KxdPai5eFH7NUsSzVMr9JaFYNafRORiRF5z/P5+NKwzwe8fJKF878jfn99otwnLJEN+EVO+PArnkbNEYAFcChF83gTwtcecb95Y/KPOiextv3LIuZNu59553qjmUzknlaUDZrkkWNMUtt0M5gQSpJQgAqlAxXWtPyvL0lo3KnpcS+pVAMe/9yMvb585wRW4nj6uB3E6aW91JOH+mLahKU5G8DVFPKrpmwD1pckjvFieyvPSdextbFl3lCUnHibkzGpxcRgBZN3ku5imNRntnV0auVjKRQHdPCjcs3xz8hTPw3zqbwOvcGQ0ewWi/cN9tl5/lfF5za4fHm0TerWVrd2CpOIToAJW0Bomq8rVE/48jsdsP9LvzeSXvE7/X4+/6jTPnGutrPALMtInFMT4+97ggrN9a53aPb75UUAB4O4bE7QGicCq3i1Q0xm08x1K2NsnmEAmi5wH3t4visMHnUmN9jaevN5AZbcp2TZcuXud4wm67/KwMLUWygXHZDW7jCXTwU2HujAYkyxKO3aPP0FGAOU70K2JHZdRS1RuwJ8wlZ52MppYOh6wBbtUU4ApZ8klFXoY4JpUkd9K7lU3Bu7G+2klm5ySDK+vHuVDolEnLnnfJoM1oKTt18gq+bHlLk8fV4OKxVQDcqtIwITd8lcdR5UUB7EIJlceB7o9D6tJtqqLcfPKBJBR8c9l45+UZByneKi3u6+WeUYLfRiIJOr2X2wtC1FWkqmKduTManHsxZfE6z8bOc5w4MaX301jdx6PPQyPQYa427Zn/4bqdnkPrS237sXTNdk+YnL+X9gIp8k5rKY6wLLcb3Hon4E2/yEaol63d4RSFNNbXeLou8UNKlHaDX7eqU0a2Q/fStN13CHva+0ipGyoHR39FvwrFEmTYUoYoaQHzogIuqCpFZuNwbfPwI8+fSCYS+NoV3mbYqk3kiVsn+eaAcSHVOEBhLMoxIXT3pNDc2uGpriTwe8o3HA6ZNxnVfcuW15RN8kR+BmCPj/eM5ZXMOuaZqDZF6txAhELOsmtYcQsQrZgq5a7y6+VFK6OqKjzFN3R9NFZO0P08XkD00ieyWIcf5CgkTj1sOalLWZZTWZqy3D6yVGDGD5H0PVEXT/CiggTgCR33Jsci9wJpI3jRVtxafeS542HZbISaIlQAMg4qAJxq6ChJK11Tc2uHk4bBf9XTKwdjbzrKItMEeEEJt3VS1gXQo7tGnOjzxM6PvJAxkNWGntwFIbAqQ5d8I46a3NHG0tza4blO3m+0FMFlLmqrhzjEjpMXQJ3PwwmUCqr3R0Fg/fKa/MKygH9u0C+3tmcYxK1tnaFefzFQVSLK4gJeHWsBeGrbXmy883Ln/VFW/FJ+E22YdO8Io6uHeIiLKrdLbjY0h+nQRe+J0l7QNZMXmL532dodngIwrk/HCc7tV7g6l3wd8Y42cUpNcIIKwPHi5HvY4QckInWURx2ll1V1wJs0rgab0xEloPecRlWrP9mXWeachw3qeCLXBmD3UaaiCT73uJ3mzhR6nP7mEkL9HX2e2GVLYKdkZq51pPLecYmClEiq5QmdUbYJ4qdUwCY+vGqXF374XZOOHRr4ia6pxfbOja4ekpG4TdfJPQRyEwa8kjYEGY4KE/y3JM0m+s2loCpXXafnaWz8AMJ7xgJumPq2y8/Szqhla7/FPSr0O9DmPGXxOmxk1bRRbT6cWPM5yHvdEjGn1/IKWZVXEvC2sbLz9YgkZUpshAkuNcELb+haKRFdVp+rDotcniZuEEHlBx4irL39vrQO+aGQDsz0eVHnRJIHFMjcgwjNrR05XZOs8OZ2g+fnRgVO0GhtJRMJR0YnZVkeG+gX1eA9p/u7h06iz+fYUT6ZKoGd4vPJRAI0t1Uh2VVzGh0DpxJNpdwNVQ5HWKCNkbC1rdMxbKprUyHbb8PFIqME/Y4X11Vj8rga7E13LCBQ7hJJGFBeCM/dGMVClZQwzJGyojFk0iDxHBe6dr8kaH7feO5WMpHw9IyVci5RzD9KOOeJ53zM/Hk/cOPODfPGOy93TvLjFq6OPLcJ8Oae8R6dZAf4epk7owETx9ZkFGXNmzne8fCMqqrA165w1xpgp0LMnzkeE8dG61nnebmyZy/gzisqQpg7w1tpTjOUOlCM/eazzpxWFSdEAW7PZT5aLrma8xS/B917InVR5nxS1IIkkGw77c6TZCKR1zXRAZ7bCpmfGyV4p4zf33k5ypNlnoIVHoZV6Y1mKzYzsNEnPXYy/MpPqTxnQhVOaKyv9iixE/jpnIxXnM3mbQ+hfZ1chJcn/+biDch2go/Lawe4xpZOZYCbWNvc2uHxkEgyKv8tEVUrLrpHBO4NotY4Km+PBHkiuVwBD1VE3bKKjC1fQzItgXuMVeB9c+X1brzzcickGJfhvriu2unGwq+BexII3GOsCs3yf/cmuxE1VG3r3Ptoh6NpI+b2hYsUJ4BY5ZFkiI5fay56iHze8nXFvZe8R3gUdoPbAz6vaFyN9ZnhylxwUV2Vs2b5Phi2PZSSVHyuSdtGv7VKymnpmu34j217nffI1BbydMbRLUQn9EliJ0OMUhCRTnIAnKTYecIAqyY5D7+ovocQRShThh/5wuBK3b0tWE425Ak+bhe3DK1yMUseGvHresBPs264aZ9DZIFwjTTlk/DvksnadG3ZSJ2qYEdqLMrE6LCLQeh7/RTgc5k72cK0XLcvChIuD2nJsoTnGm5YvtlpC+Z3Lfx3kW275O8Rd2GSDD2qOrrwuUT3l4eUCRbguUdRFboQZLWnzHPM5pGS6yslDv1EfImUR3Hf5O+WTVS/Ny8pf63qHhZKEPMF3ytVByHuXJk/079T0ktt+51KX67JJ0PVcVZp64A+Sezk5im1zdyKIm/FlOo0ns/3+CXEhwW/TZ8b2XwXLDdkcZA62mAB99r5BsnJHW0gfEPmRvHJre3O+7nHhX63KPKbersP2TxSMj+PvFu0OfPP4xtpFJuPHJefAvysFc3oSVn4xZcm5fS52aqEw7xXKpFb7sHhXt5sxIX/LtnadsUBXphEXVl4tSs/LMgcJ5VMBoEXjvF2eFHBL6zPe6X6HQ6k98gvtxqI577RPctWYJWNQPPx9aQsjxeacnKjsBuqA630FMvHVcVmch7yKllC3A4JHdAniR2Q2euRwE8rKs9CvhOCf0+UXQD8Nn3VRpjriS5bRWnYIELHN1gKNQMuSQPckxqROj+v6V6f5Ol8CXyxUM0RINNwSfg196b+lnT9cZGGuTO8VcgybMllM7JBknk5Zp6bFtb45Mbj5xnNhbjw30WnHCCaT09ubXfuCyc/lJtKXjvVQZVLbRCk5FPUhQY8rE9ElJM7WisqQu5HilRpKUD05G7Tzn2+Nqy5tQObdmY/nPLxSS80fz6KcfE1RunEfntlY321p48v4E/CeWWtIXU2+nTxxNwZXiVxKpbwQ28J39m+J+pkTj7J54nTHHfP0/MqyJCxDMVGKfYoCR3gutOXrNnukLT5M8ejsb7a9hClPXUyoZ2PK5uCeZQ5GHyOALYB4ur/qt96XhYjFfX1q8DTAAhEVGUT72yge88T9unzKdcrisT8uTManLm3RRRJzZ3RwDz8/qKwJKKqEpwu1L4EBZove1nl/Pi7fuPcp72dXRlFPNzOzFrR7OTUEYgMksdkVFVFLPl2vYnP0+PZRHhprNKWS5saJUg0X1Wk1NTSgUvOyi3kyG1ib3YnSMgCK7KDKQsZFbn8GnnaA10rj8zQ53DodIiKG33WYwe4uTpuMYHbdJz+T+G4XPLirn9kM5JliQzDRRsciWNGmYgqkU9+i0rAMupQJUGGF3iSOeDtHejnmYzaa5oPbli+WekNpZN3Lh6BOIt1VN+nSgMAvF6vXDZ570k+kbEe6e8o8MStk5zCDa47581H899MSURV5rqS/qC0L1HfN7nmicA01qtJK8+HUo1rL/OWJAD8Pq0/GBXkmuBzqbm1w9E2yyW9hHJiVZqTcdmSINJ9VK8vNFUnX6iExv0qcv0iFKoIi0raKqp83FJAnyV2qkpJwO3tShVTza37He9CbwuFcvVmrWh2NixOMCYphBXDQFBFGzy53696kzbUMDcfaZyXrPEKaaqq7uRi1zX8BcCTEycr73jRQW8eAV10B+n7ZEs6WRWaj6wMEVwukutX9Rwm5GGQ9+QFei90UeW6EqmrraqI9b4BXqJG6C2vNhdiAGQWUUQB1Zrgc4lyynIhQTK9hWtOyvsWJRkv9uCaD2EKGpJo8/Uh10m231O1bgiqQ6VO9j8O9EliJ8kKT64F7AocruCfaxUfz0ehtjp+3okwJ5hcLPwEzTfDXIyPPMHT59N3cDmOsCCNs8z189sw5GJXnbTjBk9Y58U6vIK1EM+W3QfYDVXLEGbYUjvzZ9pagtxjw1toAcDrbx3K6fOojdfkcSc7G3Ey7bmj9RZFk3m5hui7c4UqB4jmMmnz8UTwuIqU8s2r9SMGdL+5iG/UG6ufR4tXf+Zy0FPZT5k7GOYhIxdvfKHpPrkSprDAibYssMq3OEqSOtXnGHLXR4mdJCtSV6upZZ9HpZw2ET/wRcfJnV9eSVQnoSA8HKq2M/T5ACJpOSOJKt9oVO1lJOKqpMwFnAR5xInTeWmjqirQWF/jkZnIhrkz3D7ARBhlFWrYVYk84VqGGonA0P+5d9sP1MaLxkMbsipRPyyoiBaFJ+maeDsw1bzi9096kHkXjSjTBbjtWrpmuxMqpqpPfhjyG5tqXsocSh6aj5Pc0W9LNj/Xg54kr/wzyZseJhnvzRs/eVyNlgfXXJGPLmQ2cG1QrjXLHRH5fF5fRZ8kdiqywnvL2b0gvUKW2RaKXHSr5jSi7pvPOs9/9qLajPeEuejIWK+a0+jJB+JehkKMT5y5apyoEvw8XH7hrKjzR/IBCUFzcdAEbGKXjwdgaToPTQVqxxVlVSIPNSYAJ4+Mz8XeyB3/DMD2qC9ds91D6sLWpZJi0vxwwAW/c9UK9PMgR50uwG0X13vjYTF+cMolr1bm2wFqIhQlelKWI1grvUKzVjT3es9oz+BEmI9pa1snuntSoXmO/TyP0jGh28E1V8iKXL7fFup9pMIM/jk8apHrYbkvok8SOw6+YKiLQb4LRS46GXLKtWdfUCBjTf0MpYcj142djBjXgps7owEPPr/dU+3IF0gYYT7uSSCUJ8sc7ygZt8b66owNwy9MROF31QYTVY6M9JBwUgDY3uJ8PaJSkxGw5yURodoQqxL9wkVnVNreOWp1Rs/T/ctF+Z97+fhvBCAjNy0MSDFpLgoLuE3uc6nQ9fMgSw9ZFF4XbrvkHOSkjo8zX++W/K4o888IL7Xtdw5LJIeULaTqB06EyS7yHEs6YIRhQ7J5HnU/uGZDWLmLuuQc64iCid3OnTvR0tKCqVOnoqKiApZlIeHjSYgb/KSsElHNZaHI1wCuWruqoCJM48a9W3RqJlKXT3sf2RqqqWUfyljf3J50a5f56U0vrHw7IivDBw/AoWMnnJM3eXxqRZI+h99vTJ/JeywC0S562Ru2lvWwDQI8b5Tu/cYQqxL9DClJSMgWP0Buc5ETBe4JB+DJTaPXhrmuALUwtvx3LhJC3L7I9RqV14XIOBE6XpS0pXW/cl31RsTjztmSkEUrZC9k9ILscjZIz6MqxzJMGyK9uhfXVSvb7uUSwtShij7M3MVsXk7dVBGiRt7ErqOjA9dffz3WrVuHRCKBHTt2oL6+Hl/84hdRWVmJH/zgB2FcZ1GQYZFCRWu5p44TRMAld/IEHCS4kCs3ZOMWrnbCVhaQU14TkN2I0YYKwBMiDWPB8I2P52gR2ePhPUJvhkmHRc+vgcYhkU9Okl+lNyHsqkTVb+qXa8Vf3xvoHs5a0Zzx3HXpNAdJtsICz2H0S0fIZiNU3iy+mV1cV+18DxCd3MTkcTWe5PuelOV6uNh4SmUz9BO1pvlHRXHc1uc6Nr9DPA9Zh2FDyMPP9yoiZip719v36+DRCjt3kX/eg89vR8pS35uoK5njRt7Ebt68eRgwYAD27NmDD37wg87j119/PebNm6cdsfMLi/RWZanC7o4jAICyhLdPHS2QPR1HQ63go4VKfSjnzmhwcuwAbxucXDd4lRED4ORq8SKRMI0ZKd+3d3YhmUg4JOjQsROOp4tCwrkapjhzBvlpWeYOAvBoK+aakySNpMxDo3w9ILwNmv+mDz2/w9OfWD6fz3UQ+ZGgDQBAJJWxgK1lR2kbMheut+9XbRxxy03w+cfDilQ8lq2Xqm6QHWq4LaSoAuAWxRGRLgZ0iN/a1ln0Z2WDnwZioW3a+FosVj2hUPTWdo9yF4uxy9zLqUJ/DM3m3Xnid7/7HRYvXoxRo0Z5Hm9oaMDu3bsDu7BiQEmVficBalHEtZx6w7K1O/DmgWOYP3M8br/C9dIRudva1om9B2wyElai99wZDWnyZhviWSuaMzpprJrT6IRdch2f38bCDVkC4ZAFHq6kIhQ5pnamiJ/v6W7ujAaUJeD0xZSgJFv6f1DgCvgX11VDfvVE1iQ+ZeVmWHkniimL13m6AFDnAJqP+cztfDF3hq36TvmdKo3B3vLQOFQSBtwI0/wgNfqwoSp8CAJShV9+Z1hdKXg6wvtCRohriZUCuBeK20KXBNl/O/MzS6eJbPjFS3u8n5NOMyhPlmHyuBps2rkvgNG4oIMNaUPSwZxrvgHIe47wzxi3cLXSyVHob1QMyIYEUUjE1yvg1V/tr6HZvD12R44cwZAhQzIe37dvHwYNGhTIRRUL1WkO8N7kyeNOznvjkZNjyZrtTmVtLgKmQYCKAuRG6F7PPmcDzHV88sRO3qRctOSKBT+9te8/6nmOPAqEQrxuy9bucHIGU1bvVWdBgY+rtqrCMw4KM/Nq33x+21krmtHe2YXyZAK3XZ4ZTq+tqsCTL7WHchJXhYu4Nht9Zz7zpCdlYVRVBfaKkDs/hecjdlwMSExaVVhF15rvbypzWYHw5x+B2y7p4QVs0lesqHqUuVx8XakKkgC1tlk+46JDPABcOKYSb3Z2OZGE7p6Uc6+CHJuU6JIFFCmW75wvVOoJURMeOUfk4emG5ZsLOrj5ReTiiNLohLyJ3dSpU/Gv//qvuPfeewEAiUQCqVQKDzzwAKZPnx74BRYCbxzfrWIqdCKrQin8O7L1nw0asiqSTjt0Qmlu3Z8XSaCTIs+pk+PJRUuuGMyd4ZW7IPCroHZt+Zzu/HLSeHhDVXUWFFTj4idwvjnlc8jg90tucPw+hnES/49tex3PoCpcxCVDcgVtjNkMf5gggeSyRMLx+HDwEHchG6vMK4pq/gFewsBnGOnycWJSaEg46lwu/nsmRcGeDDHmIk/DSQcn9vQdgDfnGEDB4VE/qCS6eLu3YkjYsrXebipS9zQKcCUHVSV2c+v+vMmdPIQB3rkRhDdQhwKUQpA3sXvggQdw2WWXYevWreju7saCBQvw5z//Gfv378emTZvCuMaCoMoFyjcBnzAvfdrNqnWXg4BpEJg7owFPbm3HXnaClKK0+XoiVf0+OXrTkisG5AHiRjMBYCDb0GW1bC7ENZuXlcakqpAOEiTjQZ5HknDhv3u+hkHV3cD1Qrv3L4wxLVu7w9NAnu4Dz+EqNA2B/wb55MUGARJIBryHGJkbWUyOnyQjUcw/wCvjIrU7Ke+KX18hUOVVhukRos2WpE0AO+85ZRHhsotfGuurc4pecGLKwYvlyD6NqqrA6OohGYUZQY6Lg4SjC9UGlPdBeu6iArcTfK/i8zJfp4QfeEeUYmWFdChAKQR5E7tzzjkHr776Kh5++GEkk0kcOXIE11xzDb7yla/g9NNPD+Ma84IUmCRSJzXZ8r0x8gbz/p8APAUMMiQaJGhz5Ua6UCNDJMEWZ3WlWwhEVpta9hXkXcoF5IGkEzGRIO6lOXTshFNR6LfQ/MYmvaw8vJdru6FCwVvZqbTLCjntqariiNwRovD+yHAHEExxg59cCH0n/zso8M+nQ4w85ATxm0Y9/4DMwxuNI1fx6FzBf8OwQ2BbdnVkeFZV9osOGb1dgwzv0r/tz6hxOiYAwNsHjjn2N4jCDA6ZP8jnikq6qTcoCyWY5y6oe58rVs1pxKWL12FvZ5en8KoQpwRgFznJcHsQVfocUR9agkJBOnannXYavv3tbwd9LYGAFgdpsvGJTDejkO4M8gbzHpny9BEW5ISiyj0id/meTCSpuGH5Zs/fZMxoAYXhduYnORny5ZBaToXmznT3pDyt5MIUiiXSWmzOTzZIshAmUeD3nrwiqtxSmiskfp3PnNm0c5+vHFFzawc27ey9M0Ih8CPJQHC/Kc2/JLNLYQsV88MFv0e8NWJQ38/nYpjzkHdeoQOhjDTke9D1C+/y3sU9luVbMBQ0SMyavpcey2c9qbz7ktiHOfdU+P2dl3uUHIr1WM+d4ToeVFX6gFssSa8v5DuAeNQVCkXexO7FF1/M+vzUqVMLvpggIAmYJAuUQFyIh0t+tnxOipAGDblQpTZfMZ60ZWvdZvXSKwOEF1qW4qJkoIl81VZV4LqLaj3XwT1efpCePTJsspdpWL0to/I80TwgRNHRYOma7XhT5ENS9xV+Yi4kB+mSs05Whl1pnoQZ+pAkGYDS01oI/NIewu6tSmkkKpFb8mjkazdUHWsAL3EtJiE+G3j16F5W1MDzggv1pvH7L4ncxPpqxzb11oKyUHASzkPm/LF8vHa8W5C0RVGKZHOQ15AQREiY2jVK0l1osaQKUR1agkLexO6yyy7LeIx3nOjp6SnqgoIGj+kTqcunO4PE3BkNjhBiWQIOaeQVTBfXVYfi4fJbqPR3vq56Al/gqpy0MBc/J6vUPSOZSKBl0VUOSaDrykdIlZMoKX4cRePyKLTL5H0DoiHjMicSsNfZ+ff81tEdLFTPMc7QhyTJAHDb5WdlXE8hn7tkzXZHykKuW5p/YaVvBN0pQlXlC7i/EZGgoHKmOFReKFnspSKxucCvYIfrTZK9D2ONUYoQJ5BUPKHKfc4V/DdT9cIlWxTknqUqOqD0pVqmV0oh4cb6/PON6Xu4qgORbgDpPTEY7UuVBJLO5C5vYtfZ6RVpfP/99/Hyyy/j7rvvxn333RfYhRUDmsj89P3Q8zscUleMdAfJZ9AN5nInMjk+bPmCoDxB1AB98riTM3LSADvsFpaIKu86QKSOFqf8LfNd9DK80s5yY2SuGxmWoIxb2G2X4iLjfOOROHTsBAA30bzQQoo4Qh8yZ5ZICxGYYsI5ZI+aWvZ5Ujj4+iol8PtTyyqGAW/VN0l08PcUi2zriqfc5PudfhX0XHKJE0YK/+X7Pb2BS/8AbvEEXRfZ4nzsE3+tjGRwb2uQe5YqYkLrix+u6fBeqDeeizpL0g0Eoynr50ihsemIvIndiBEjMh6bOXMmBg0ahHnz5uGPf/xjIBdWDObNHI8blm/2MGxy05InqNjFL0+MqgrVsD1cHMV4gvjClyctufjDyLPj4Vi/EEGhxFK60LOFIHSvdOKIi4wTCZEboESx8z/K0AffdEZVVeCzF9V61jfNzUILhygcOnncyZg87uSMuScrOEsBPPWEwNt4kQ2cPO7kgshIb5D6ggA8Yct87LuK1Nnix/b4iNxJQlRIGLs3JMsSDqmTIWbAnivFkJWoPOLye3pSlkcyhqJLxXgjZRpPY32Nx9saRNVyHMVcQaCg4gkVRo4ciTfeeCOojysK3FCfOnyQR5+N5wAVuvhVrydyF0YZPOASLpVxDJJwRVnezduJyYXT3JqfcfZDNhd6qVU6cdC9Vsnw8I2HqsCDwsSxNR4ySQnLQSOK0AfPFWusr0ZZwtWItDcNm8SOqqrAxXXFhXRoXXHNQR5RCKtbTZjgwrcAnIiIDDcXS0YIsj8sgZMwb75uboU2MlTpesfc/r68KE9u8EGB2yAaj/RCBlWdDYTvEeffw3PBZfpSIRWx9HqVF40QhKh5nO0Ai0HexO7VV1/1/G1ZFt5++21873vfwwUXXBDYhRUK1eLgCfjSM5TrjZE3WBIdLqsSRrVRVIQrStLD24nJMdHjxRaE0HX3pCy81LY/4zfk1VRBji8qYUsu/aCaF4UIBmcDv2ZqaSc7hBSbsxhV6IOTLfKWyQ0iqDnB59v8meM9noVSOUxIUCI8v/9U8BSG3aD7NSrdO5o81oDXU5iyXBmnXMDntJTCktetKuwJClxOiI+HyN2o9O8aBKLyiKsiJgAC+W4/+1meLMNtl58VyL0KO6UmLORN7D70oQ8hkUjAkgmrjY346U9/GtiFFQq/xfHDdTsBIKMXX66QN1ieFijRNYgKVRWiIFySjMiikDDHRPcjqDGpyIHKU8sJeSkScaoIU80Lej4MkOdbKvIDKMgjTogy9NHb5wa94c2d4UozqBBWqkMYkFW+nNy1d3aF0t2A3y+ZtuGxxSmrqO+M0ktDXU8mjztZqa+6uaXDsU97O7sCI5VRFQOovgdAoN/N7Z08MOkcLg0TeRO7Xbt2ef4uKyvDyJEjMXjw4MAuqhjwEJXUeytPluH3d14eSG5EWBWq2RC2C523fVk1p9FT+k8hqqBDe2GNSRpn2lS5J5A8TnQiDlKeIY5cFhneC8sTxElyyrLQnu7xStcBIG+vCSHq0Idq/gHByZxIcA027lkIukVVmPCTbuE5YWEclujgSRs22fX5zOYHYZui9NJQ1xPyuksRcAAe2ZNC5//1j2xGsiyhJMNTFq8LhQBl87wH6Y2nlAkV2aeipVI5MAWFvIndmDFjwriOwMGJV1gnkzgSK8N0oVNuW1NLB6YsXufRc+KN64NGGGPiBJ+8kOTdamrpcIRHKVne3lyDlWeII5clivCe3Hzkd5F4MXkh8oHqvhF4GkTQjeVVhDjoELCsKOZJ3mHl5oYB3rEG8ObUTVm8zukgE7TeGw+dkz0vT5YB8HaNKCXIg5kkdZKsFGp/Ke2F7g8XKiZdz6Dnem+pILSOi/GsUQ6nKhJHhw9V/+e+jpyI3bJly3L+wLlz5xZ8MUEj7FydOBIrw3ahr5rTmGGcuf5bGCdwINM1DxTWcktCFRKlSmYAGF09RGlQSy2XJUqovOKEuTOKrxjkRTX0mQTZFzkIqPTr+PcGNSdUFcV8Aw+6RVVY4Idm0iukv1Xi36TPVywhl/eDlAjk4SKskHZYebOS3BG40H2xc5FLi1AOpKr9VlB7ljz8Nbd24OK6ao9si334q3EeL+S7VW0Ogcyq7SBTUqLKny4GORG7pUuX5vRhiURCG2IXhTctCpc9n0RyTIXKtmQDGWeZM0NehaCIpNy8/dz1xYLf8+bWTI8jD83S/QySkEeRy6LKMYkitySs+c+Lavg4+EYUtNedJ+Lz7wzqkEaeBW6PvH12w6ukD2sDUoUNpY4dYEt0hEHIVdXYYUoWhZk3K73GqrZlxc5FTu7qvvksgEzyGFQlPX8/J1hEIInUURSokLmvmt9E7qgZAaBud1jI+CgfklfP8899cms79rK0lDiRE7GTeXWlgLC8aarJxD1PctIUa0B53puUEQijJRFva+NcQyKRcaILYlwq/aLm1sIV1v3AT2/0nTwfiIeYo8oxCZqYAJnkuFQTh2UohVcuB9muj+eKyc/kXoYgTt+yB64k/E++1B5K/laYBTyq3sGN9d4WjlydIMiCKE6CKIyospFBh+yB4PNm6ZAru12oIhfFzpFVcxodUkd/E8IixZxQUlGNqn9xvvATW16ShdQVMz7KhwS8lf/0nfS4DvY2MB073RCmN0EaS/7YfEHqgjjJAe4mpzImQbrQubeEt7aZtaJZ2YOvUMyd0eBxx8vNmzpBBAUuhEkhZpUAaFCIKv+Sh/dU35OrlpdukL9VGM3X+SGGe1L5QSConFLeAxfw5oQtWbMdew8EV/FICIuIAJkHXAq1Llljd3khhFEQBXhTNyjCoGrXFjRJCSNvVkYu6PODjFwQZq1o9vw9ZfE6bEwXFAZd2MUhNQ+DIPqq+S0dA9TDOojxee1qRwa5C6tHfCEoiNjt3bsX//Vf/4U9e/agu7vb89ySJUsCuTBdkevmHORC4d/JK8HkRl4sZLUbNzJNLR1OT7+gxsU3AyCczZtABIhCzETu8hUzzRVR5V9KweCwvicOzJ3R4BFADjoZX1a203eSNzys6mXAu4EHmd+5dM12/Psf2zGm5iSsmtPo+V76LUdVFq+Hpjrg8vuVADCQFTgEEQpTaczR39SOMEjyCvgX8XDFgGK9kDJyIfPDggJ5zahg7Jdb29He2eX06A66upiDJMEIQVVMq+Y34G35GaT0jiR3hLD2rUKRN7Fbu3YtPvnJT2Ls2LF44403cO6556KtrQ2WZeHCCy8M4xq1g9+pTfVYUPloW3a5PWn5orANwz5MHFvjqOgXuii5B4MSouVELlY4mKv9k8GUm/esFc2BhcAAN79Jam7xEDN5U4K6X1El15aqgGYukHI0QaYdqJqh87UbVPNwDu6l9rMRxRLxZFkCbx44hjcPHHO8MT0pyznIAEAi4W7ehc5H1QFXClarCqKK8aL1Rth6LCtw/TwVgeXFNsUeNnhrQCBTOzRlWYEcznh+Kh3OJ4+rwd7OLuegS98/eVxNoOROOgxoPfMoUDGQe4gk/UFL78h8SCD4Q2exyJvYLVy4EF//+tfxne98B8OGDcN//Md/4JRTTsHnPvc5XHnllWFco5bgN5efSMOogOSxfTLQ3HsGwEnoLMZtTz0tKfzEDRqNi0IexZTd80X+y63tns1g+OABgZ5U+WbA5RlUxqUYA8qFRlUNsMljSAn0YaAUqrVyhapij+fcAcGmVEhjHZaw8xO3TvLoakpPULHghKu9swtTFq8D4O0M0t7ZhWRZouhwpcpbwokDAFxUV5WRc1cMCcqWM7U0pE0c8LYwU3ld+WvzgVyPqi4NQYAO7fSZ3CPIe+HygoYgoIoC0SGAokDFjvOG5Zt7TakJknipquiDznUvFnkTu7/85S94/PHH7TcPGICuri4MHToU3/nOd/CpT30KX/7ylwO/SB0hk59vWL4ZZWmPmqyADHJTpZY9vBAgiERUgrxGSkrmmnbFJIhyQzl88AC0d3Zh+OABOHTshCOTUFtgdxAVZIcQlXEJ4nu40CgJY/KEbkKY+nJR9vkNE7wwSCX3EEQXFNWGrZI8CRpRVElLcqdCUAUN3FuSTCQ8qRr0HVsC0hGTRWkyJEte+CC9QYB6rsjfrZBNXR7EVHtKUILpv/iS93N4znGZKCQLOtKk2p8a62uwZ//Rou0vRWMAeA4VXqkT2/MZBPHiaRv8+8IoZCwGeRO7k046CcePHwcAnHHGGWhpacHf/d3fAQD27dsX7NVpimzVjtLDUKyivNyUpbGWScNBgud6cFJX7GKUOSSHjp1AMpHwyKoE1cLMr0MIAM99ousqFNz40/fI6uKg75EqrE3XQBWdlJgdJqEMGrnkJwZxSPLbsPljQf5m3HtB94buFa865/e0GG00Hp7ioE4yQVTwUe4U2Yemln3OvZs7o8EJjVKXjaB10lQ5dUEe2AhzZzTgwee3I2VltporNJ+VH8SAzHzLoAXTCfz38psjQYAOu4311Vk9rYXOCdXe2Fhf47G7qu8FClvXNyzf7CGR/ODAyZ0Oec15E7vGxkZs2rQJ55xzDj7+8Y/j61//Ol577TU89dRTaGzUJ3kwLPSW58ENCpGXYgyo3ORkbN9C8D0tuXwLJ3XlyTI01gdz+rm4rtrp/gDA+Xy+wQUZNoyimEGSO44wxIl5U/S9nV0OQaB5t7mlwwlvFzu+/pA3KO9RkOROhqQAOGKxvCOAbNNVzIFQbti8oCGZSBQtiOx3wKUwNl0D798Z9BwJ+8BGWLZ2h0PqVJ7WQr5DHizCKqiRoLy+5taOjIKGr13REFgLLq+X3Z0TQRW2qGz6kjXbkd66MvJkg7L1ftWvo6oqAs0NLwZ5E7slS5bgvffeAwDcc889eO+99/CLX/wCZ511Vs5CxqUM1WTiZfjU5JsnwBZjQGX4QYaLqKAiyJMdEQY7qdfeYLjwre2NOrmoBZIsS3hO+mGMgyMqsqBKrA0r7CY3Bk4QuMD0oWMnHKKeDziZU+UNkleplMK8EpT7KO9RkISfPieTANlri1ISiOQVm1rBSQ2lNwCZBQ2FzAn5HX4yOypNubBIStgHtrD0KGl92SRrf0YhnmzdFhTmzRzveDUpDYbsMFXKliUSgRRQ8DkRdFGhvDaZ964KYxfzvVzFgadZBUVUg0TexO7ee+/FjTfeCMuyMGTIEPzoRz8K47q0hZxM0pMxd0aDkxxNp+IgGLwM93KNuaBj+9lOkvI1+YB7AvnGRv8fFXC/wjigIt+3XX4WgHBO3/Je8U2cUKjH2K8dG/dEhxHm5WtKlYdE3oRiPYWUn+O3YQc5Jn6N/LdMJhI4dOwEEkgXNbAiqKBIHc93A4BThw/Cden+yPx68kE2QqXK35PzNKjfNuwDW5h6lPxQ9Idd+5W9b2leBl2lykldbVUFNt55uXMopAK2oAooJOEKy7bLHEW/PMti7MbcGQ0ZzpugOlsEibJ839DR0YGPf/zjGDVqFL7+9a/jT3/6UwiXVTqgxUnl/DS56AT0UlvxicMqUkcJ+oDbFotfR5D44bqdjqGhooBZK5qxVIQbewP9VrJKigzIXtZfMoxxEJZm+XwyooWA3yfAvleAlyCHMba5MxqcDUGC50QW8rl0zVMWr8PcGQ0eyQIKJW7aGWxuLc2TG5ZvdvLQZq1odgVwyxJOO72X2vYXdL/8Nuyw7pEE3TMKhRERp9BloQenppZ9OLNysIfUAXAOTuQdBIqbj/MUpI7WFfX+5M/ThheGBypMZCOwxY6Fzzf6GNn7ls/5oEAVsrxgbdzC1Z5CtqDb9qmkb4IEX8/b7/uYY6ekIHMQvyeFlVUajUHfq0KRt8fuv/7rv3DgwAE8+eSTWLVqFR588EGcffbZuPHGGzFr1izU1dWFcJn6gjN4OqlSzhNNLl7dVAij51pH9r+9i66pZR8urqsOtFsD17STE7hQVX76rZpb9yNleftM8vBD0F0nOMJqMM9JHd0rbpg5MQ56bCovIeDq9BEJKqRF1twZDRlCpnRoIS9TbfWQ4AaDTI8IrwLn3id6vBDPQlQC0n6QB0CurVho2J6S1WmOkafzhuWbAQCfvajWE0YPujeyN4XDlYsptapsjijzPWUnnKDDfOT95rJWvMAFgEPqis2/JIQVxlZ9B2mvAt42ZiQNRntPkBEGlUajDtGmhGUVVxKzd+9ePP744/jpT3+KHTt24MSJE72+59ChQxgxYgQOHjyI4cOHF/P1WoBPVr44ZXUOoNfN7w3SAxXUGOhz6QQX5e/Rm65SoW1huI6dHAvp2E0cWxOKovuSNds9uVQcXEKGPDiF/NZE6ghERCiMEwZ4FZr8XvIslMpa4pBzUN6jYkLcfhtpVL8Ttxl+xQCFXEtcGo1hfi+/N7yTBSd3Qd431VyQNj6ZSKBl0VVFfY9MuZHfFzTByvZ9ZNcJxX6nqhI3qM/uDfnwpqJ6xb7//vvYunUrtmzZgra2Npx66qnFfFzJgnuiKJRyUV2VR+m70Mkcl0FTTWBusIuZwFHlXPh9NxB8g3m6BxSOktVYYeXKyEpLwCU9AJzwSjGkjjTCOIjUtXcG3+OUMHncyRnEjheE6NJwOx/Ie5bt/4V4NsJMVs/3+/0IXlD5nkD43sAwv9ev9y0vKAszH1f+OygNQO659ZM5Kbb4jkOlvQrY4+V6fcXuNSpiLAvldEHeOXYAsH79esyZMwennnoqbr75ZgwbNgxPP/002tvbg74+7UEbOQ89UI86ChX9cN3Ogk8oMoePEGY8n09gWnyqHK5C89GiyLnIBspt4QUoQfT6ozCv6n5RODToXJn5M8cjxU74lDvDv6UYEsSJiMTGOy+PLCdNIgEUdb/CyrPsDXTPKA+NdwTgj19cZ1ekF5K/SPl7cRyc+PcTeI5uodeiyn+MwhsZ5vfOE4SXcsO4WkAY+bg0Hultall0lW9uWiHfwQ9l8jebO6MhFIcEH9/4u37jjDGIvUbV+YQXvFCFvQ7I22M3atQodHR04KMf/SgeeeQRXH311Rg8eHAY11YS4Cc67lIH3Cq3YgysqgIrbIOmkmYAeGPlfc415XtijSLnIhfMnRF8g/lkWULpbeFh3jAqLYl8UxiYqrIJCaCgnBlJ8Nv3H/WEe6kXKb+GoMC/+8cbWx0PJMECnNyZQrzWcXmAVNdJpEFeRzH5nmF3t8jn+wuxf6pIBbeFtHaj8EaG5QVV2cIgvLa9Ye4MV2wZ8EZgeG5aofOG7h0RLCnjEmTUQgUeEQIye8fSa/JFb51PVOs4LuRN7L71rW/huuuuQ1VVVRjXU9J4cmt7Rp4EF+gstEVM1OEVv0XHZTsK8UCGKR2QL8JoMB9WmLc3qLQOeTJ+j2V5PIW5hvA5wZ+1otnJA+PSCBS2CTLMzOdJc2tHBqkDMgsq8kUcB6YoroPyEomMkweZEJRUjIQqz4mPK1+C6Ue8CcVUDxeCMNJHsnXPoPvD++wGmWuXsoCyBJCy7GI4/tm0ngsVKuYyLtxzDBTmDMgHFDXxC4821lcX/XvqtI/5IW9id+utt4ZxHSULWpxcJ6rHspz8o1FVFfhsWjOqmBYxceSlqfLs/GQ1ckHclYiEMBvMywUeVJg3F6hy7iRppWvLxbiSQaffi+fUbbzzcudxInlBGWyv4HeHJ2cQsBXe/Xqg5oO489GCvo5la3d4wl8qD/L8NKkLeoOVkQsAGXMxn7WVjfAC4Yl+++GG5Zt9vaCFkmT+emkb5ZiCso2SlPDKUWmjmlv3e1KMeoP0ssp7FcWhiRQPaN+l6+DaisXm9+myj2VDUcUTBnBOv00tHR61f17dRhO8GOIQR3jFr51ZoX0f42oVxcHDHRfXVXt+R9qIelJW3sZa9m2VXtsblm92DEqYxS6yFdWSNZkNqvM1rjwPjG+uq+Y0ekhdUPeQF6Jw6SDyXuxNk7pRVRUYVVWR1zxUCYp7KhJjMspBHNw4IaZNlMJhABw5iCA3WP57UoGYlKNxSfq+gsldGKG1XMEJsxQbp38XS5KjsI0qT5OUBeFrPN85InvfEqJaUzKUDXgFs4NKhdFhH+sNhtgFAK75xjf0rW2dzmukiz0fxJWXpgrxhdH3MUr45Q/y01YhbbLoPdyo8Llgb3j7QwtDcPFXqXO4ZM12bElvTLJ/Yi74xZfc9IEovVzJsoRD4mhMfIPf29nlaLPl85nSCxS0oHhvuP6RzUiWeb24PISe78GN65NxLFljd7YgbNt9IHAdL/578pZLpHHIN9NC7B/lg9E9l5/X3NrheGTC6NOpilpIwlwqkjt+niZO7ig/t5AxSU/d/JnjnVQU6kMb5r5Feq+N9e4hkLf2TFlW6Pl9usAQuwBAIQ/p3pYnTCD3CZ1NmwcIJlcgV+hS8BAE/Fo70d+FnlblZwHAxPpqjwxJmPAzVtITVEiOZ2+fGdYckB6o5tYODwkbVVVR1OYjW6PxLh1hzmuyF9JDwvXs8llfqny0uTMaPJtqsqy4Ii4/8N+zqWUfJo872SPXQeS10HDlDcs3g/NAfn94ikCQLbA4+IGJFwRQSgp5QUuBMPhdH4kVb23rVHZTyOe+9aQsx8u+dM12T55vc2sHGuurC87d6w0UPVPl9xHRyye0XMowxK5IyMrBZWt3eLRz+OvymcxRawH5oRQSRfOBKhQHBF9pRy23pGB11KG+MEL4UaUF8LVCJIwXuxRKwnh4RvZmjeLQwj0kFMrm4sQy5N3bdajWoywO6umxQrtfXrJsezylXEehFfT0eTJXj7qhFCu83RtoDvoRhsnjTg69ICBs8IOBlAXJZWzcpnIvO1m62y4/y8l9c+d5OAQrzvw+nWCIXZHwC+0BrnGTScW5wJv3ZS+COKr2SiFRNB/k4t3I9ttmE4xuatmHxvpqbNt9wPHWUvUe5SRGeaovxtPqN076jMb6ak/oLZfPLGYcnNSVJ8vyJj8SF9dVYwsTFJdEP+x5zckdAA+pK+Q6VAcUnpcIZOaHBU3uyEMDAF+7wrvB5nuoUYVAOblr7+xywr1h20Mp3wF4CUO+6Q1xic77XQeHnCO5/LZkU8ljK7vgrNy0C4eOnXCE0kkTsxS8nARd7lmuMMSuSPjdTDLSsqVJPsjFmxT2pAoiUZQvCrlA+PVHsUBy8W5k82hwYsj7cZJ3YfK4mgy5kThyEovxtMp+ujRO/l5+4g47LYDnsKq8TvmSMBoflyKiz4vSSK+a04i6bz7r+ZujEE8kP6AQqcuWHxbU/Zq1otnTnURW0OcbKt20c5+TT7d0TWZ3FYDJ+YRMwnn+rAplifxEx7fs6nA8kdKWE1GMAn6VzMk8x6Py2PJKdv5/ynULy8vJ7Z4s9itmzsele1koDLELECTcSzkflIhKRunJre15bxrZvEm6TioJvihk5RRdf5RjURFm0meTXiC50fP3Ui6JzNWiEysZt7CERlXg1bl+hwBKG1C9j8IpvJKWjwdwE9ijSguQOazFegmJtMqwJ5dEiAJS3b/YVk7L1u7wHFCaWvZlzAE+l4OU0ODtE+ne8HzIfL1al5xlhzhvWL4ZZelwOVcdcMYTQcHL3BkNeHJruzNGykUD3BBxPhql1CpPldtLz0eBuTPcSmb6WxY75OMx5pJfh46dyOh7Kw8bYR0Caf3yYiQAHrtHOn259u8OMh87ChhiFyAmjq1xjBDvOME9d/m2lJLGutiS9DjAF4Wqoow/F9VYuBEDkNHzlG/08gQtFzlP4OZhiC9OqXdeFxW54xW9focA1ferTqSc1AG2sa6tqoh0/gWd4yklEUiGhhdQFJo4ng8uXbzOkXGRkhOFdNPwC7tzksB/p6Dumer+SE3PQsS55T2WWoaDBpTh+IkUhg8eEEnBCx3igiiG4mPjlZtA9BW2E8fWYG9nl+eQy4sd8qkk5ekNADykjv4O22bwAgqZlzl/5njP80B+JJrftzh1L3OBIXYBQgq60mmB/paSJ70tFq4iz6vAxi1cXdApOE7wRSH7SMaxQCRhpmuja+Wbk2rxz53RoGwfRyRI5SmhDTtMyA2Rug/w+Ufg81BFlvhvAMDJaSpGEiFfBJ3jqcqJ5Qn61HotTA/yrBXNHhkXwJtzl6/XMM4CJ1X/TFk05Ee8erODfAyy+wiRuqg84k/cOsmTVlOeLMNFdVUez28+4GOLi9QBXkkhsocti67yjDVX8pMsS2TYVPv9mWH0sJAtr5gf1oH8fm8e0ZCKACbHrh+ADBt5OhKAxxOQ64YhVeQB2/gTqQOic9kHBbkoAMTSqLy3xe8nhspzAZta9mXo+tF9kQYjamPNNw1eRdpbGF91IuXhL54zGNU9C1IMNJs4MQCkLCtDMiHMnEHZLoqq6UdVVijzUTn4fIyzwEnVP1PmQwKZBLNY4pyAm7N1cV116IcmsusEu2d2dBI5YWHujAanwhiAExXKl4ipvGR+CDsfN9sBJx9SJ9NTiBhSioF02ugEQ+wCBJ/cnIQRuctHpV9qeDmPW6VVhcqhEjmOujVQLt4N2WeQv4eTQOlJ1QmctJCkBy8Q8CMu/H2y3ywdVsio6bCZ5VOtJsPN1CbKDT3t9+TFhkUUuOAz4B/ayTVhWxclfF7kojo0NbXsyzs3ifKWuc0A7HlJpC4KTwldB0/KB+CI4RYqOg94K2yBaO/ZsrU7PPnAgJf82H9n153j95N+p8b6aictiedfUk4fzYWgobpGeYDL9VAq1x/vqEJSO0F2tAgShtgFCG7YLl28LsMtnU+pt0pFniAJX1QJ+blsnn5QyRcA4UowqJDNuyFDj7INF79OvnFJUheHgZaQJJrG0lvom3dAsACnqET2i42yICQb8qlWk/mT5BHnunicCIcheCuhCu2orpf+5odH+btTta+K7EQRLpJFLlImJF/iTFGL+TPHK9dmVPeIXwd56ssSQMrKzN2iCvJciBCQ2R4tyjXlZ5MleusZy50QPHWIbOMoJiDNJZKiPMzzQ0Guh1K+/qRuIqXdELnT4ZDLUXhHd4MMzJs5HqvmNGLyuBonb4H0nAA7fEDhFyqiWLZ2B5b6LKil6cnPwY0/yUzI1wQN2jzl99AC7a0ghG9GgFtM4Br8Dmcss1Y0+/4eQWAe23T4eDhBo9HwjeSH63ZiyRqvYLQ00PNnjvf04wz7vviB/97b7/tYekNyC3r8JCLofbVVFQ6pa+/sUpK6i+uqnfsX1ziXst+eXweXjVAReN7+TwVV6DosSAIuf8u5Mxqc8Y2/6zeecJd8LeVSyirRXNdpsZCHJimnwedfb4VknHTwqnPXi+RWbYc9/yRxAYAzKiuc55ta9jnX+1KbXe26ZZe/B597/3jUgHvIooDfIZfw5NZ2D/Hzs8tkU+Xn0d+/v/NyT0UqjTUKDVSVjQZyt89kL7huIu+sQvZQNz1X47ELGLLqjp+CLHirP/3yTOikS4ZxVJVtRMj4U0Vd2DITBH5yIRFK+lsmTqtOqtyTmWLekcb6Gk/opixCT4lKdgVwPQE8t4znlXFJAz8DTfc1rHBDNshcFzpJ0uaYgFoiQr5PSoFIUsfvcVRGTXqOeQWw9EgC/jmoUpyYkuB5q7IoTuHZcj2l54579VTizNLu5BJ2Dxpy3XO7MXlcjSeC0Rtx5mRKVaDQ1LLPeTzs+SfzLmlMBOoDzfPLsnm4Jo6tweRxJ8eSE8khu2pI7GURpkLyIeNOEVB5Rgn5eEdlWpWcx8VIFIUFQ+wCBj+18EIHWSnkZ3C5OCxtWGTAANvI0YKLkjR4w1g2KZCkzm/xq9ry8MRxbsCjqgzj4yHiLHuGOu2YFEK2gD4GmkPVCFvmhqgkIoh8UyI6D5VwfTe/sUYBGXaVoUouBp1tHm3Z1eG5p/xeJxMJXHvhKN8Qb1DIp5JV5dVTFbpIMs4fj8ujwOdPPu3gyGYsVdhIuvdRViNy/cctuzo8JA6Ak0cNoFe1grgJD4ckP4CXtPIqbVXoX3XQIvBis2IKZQoF2UJpo+nflDvYG25YvtkhdRbgkLtCNAyjgiF2AYNLnnh6NbJ/+50iADdPZRRrBC6NSFxx/Z5UZik7kD30xcE3o7glT2T+D4WHXG9itdMHElDnAvLNR+Yg9ubFDAvSkHKSyvXoZI4czbvG+hrPfYqr44mEqq0TSbkQ+Lxsbu1QXh+vNr/t8rOcZG6+Pl9q2++cwsMiRLTpSMhNR+oSSk8dL3ThNkE+HoUXXAXyJNJmKD2Oza0dWQsgdCFB/HAq++ECXuHkUlIrkORHFZ70s+u9HbTmzwy/wjwbeps7vRFVwHu/idRRQRlVsTe37tcux84QuxDAk0ZHVw/xiHWSMUhAvWnIxQEAW5jsSdRxfT7ZqQ0TJ6hc5DcXgybDSkA8kid8wyxLuPeG7tWbadFO2QJHEiLZfouPIa5SeD6HGuurPRsQJYDzMJY8UVNhj04dT/j94mRcHjJ4aFVCFU7jbaJy9SYFASmUKr+ruXW/k5rg59Xj0gtUtcwf5wUwcW06PSn/ampXANy9B9c/shnJsoQyvDVrRTN6UlZGVXGU4L+/SqGAy1rRwULnPqMquRpZ+etn1/08zAQdRHxVvz3vkauqmm9q2ecp8uCOFa4SwG2JybHr4+CLg7ehofAWd+n+x7a9noUlJ6HjmUgbEO4Cjiquz/V7ZKl3e2cXI3W5EU0dJE8ANYHmY+HdJCiXkbw7fKyy/RZ9NpG6uErhVeMjUEujppYOJ9dMkp1lazM7nnC5gqiNdTaySuChVdlZQpXc/cv0+uRtr1T5a1GMqbm1I6OjB80xua5U4XGabxRm56ROdlWJEsky9yDK14lfeJ/Wk2yvxtdT3MhW3ECKCJQDDagrt2XKDUccZE8eeriNzrYWVCkBnBhGfWCXUP32qh65HOSB47nhnNwlyxLo6XHXpE6eOoKpig0YPOmXKmNtd609KQYNKHPc9nvTBhewF9aWXR2e3CZZtUfaTaqKuLBAVUEqUsfRW5Ub4DUeFNoE7JBYHBWW3EDz37qxvsZTLEALlwjNqjmNnt6xjfXVnk1r3MLVHkIfZpVvPlDJtxB5A+A5ndJ9all0leexOEgdYe6MhnSV5H6lt4QToMb6Gg9ZXbZ2h6fDBul38RAh5cnQ90RxCufra9zC1Z6wFZEcua4oIsDvw6o5jaitqnC0yMizsDFdkRhH9TJf76vmNHqqs/0OPaQqQOQO8JK6uBPVeWiOg98hmQNN84nfA96vWOUND7uCWULqps6fOd6pqAeyk1lK0VFFYbp7Urhh+ebwB+AD1W/PQRXNfK7S63+4bqeH1M2fOd4ZU3myLHZVgGwwHruAIZN+AaomtU/Rx0+QsKWbw8VPr/TYL7e2KzcvnhQPRHNaoDZLMlcLgLIxtwqqMJj8N8+fCntcqlwZmQNJHjtVCy3uXeUeMACOV5Y3vI4a3OskPVlU5UqQYQUZxqRcEgAZYVldwKvVvnZFgzMeHlKRXjGefyg9xlGOkVfdkRSNbENIWLZ2Bzbt3Oc8zufhNReOwkNsk+mxLE9id9ThIlUXgAef3+6Mk+wKgbwkvL1a3TefBQAtSB3gjunHG1s9bc7kL5uyMr2sQGaxS1wVzBJ+HVf4dft5fXmKDnn4uG2POgdN1WGGroXnDPPrA7w57zwNhQrKAGREm6I6AOYLQ+xCAnejU/hKJtj6VRzyFi8SnARFOaEa62uwta0zoyuDBbtB9mcvqs1KyriRV1W68dBDFOOi65EVe7zyaeOdlzukToYUVC5+HvaU0jZRg07YslKSDhjtnV0YVVWBdw4d99xTeXLnuTb0G8UR1pO5jKpOBETuAK/B5euMCJQMscQpuCzD3svW7nC885QDqdr4b1i+GXs7u5zIABWS8DB1nIndlF/Gr5+WNhWpUD6nPPitmtPokDr6myOu3DS6Vk7q+O9NBwu//Gk/2Rod8tEKaU0nZXYIfF8DohVtV9nmnpRXqoQe5/aNIAsfyXuqKmKaP3O8Vj1iCYbYRQDy6Lh/+3cB4CEiWkZycVByZ1TgC4UTHx5SputULf6la7anJQLsJFyZsNvUsg8Tx9onoqiMmtvz1TVKcmyzVjT7ykxIMkehdh1A3khVIcCSNdud+za6egj2dnZ5cmn4XPTrmauSNAgbFJbMdi0UvlQZXFWLv2ztr6Kah5KsyWsE3FQOea1kUzgp5bJI8rm4cuxkVAJwoxiAWvqFwrAEnnMXl3wG/24gs70YYBOHJ7e247MX1Srfy/uMygrmuPPReLSJBJbJAcH3Jx6W5akZNyzfjObW/b6h9qgcEaqijqe27fUc/ih8yu/dkjXbsTRtH+WBGPDmkfdWOBI3DLELGX4hMb9m6jxhk4NeQ96/uE7hPCGbQNV4tJnSaRqAI7RMIp40FjIQ7uYUrURAtg2VxqgS6qXr5//n5IKf3uPaVPnJm1+3zJNRJd/zfp7c6DW3dngMfLbk46jwy63tnr9VhUd8Q5JV6X4Vp1FtQHwObtq5z0m/4FWunNzxiksZ7iJQMQwv2NJFx45fP0Glk8Zz6mgMlHPH0xvisH9cHgTwEoPJ42qwZ/9R7E1X1APe+UePUTciXsEcRwGZH8heA8iw2Xyu8S48APDErZOcCIcMtUc9JlX4VdUOEfA6TmiVUOh17owGuP1tvRXcUduLfGCIXYiQpzu+OHhOAl/Mrp6Yazy4kaDPiHrz4WSTk7rhgwc4BRWbdu5Tnsy5nho/vROkzEYU4ORHut65AVB5vKj7hjRWMlePS4pECf4bqsinJObSc0kbK4XY6X6R14S8k73pFgYJGSLmxvq6i2rR1LJPGX6h8VE17eRxJytlXOII7fE5yHtR8t68HE0tHahf+CxSljcfiB+QaFw8dBmnnAbgzdHl+arkqaL7sHTNdjy1ba+z9vgYiNz5ieVGBVW3Bt7wns9RsnUpy3LuD2kXkgwMPzzOWtHsvCebtl+YUOlF+tlseQ+k4kHUBSASc2c0eNb6xjsvzyCnqsMGwBQpUhbK0sVl0t7FLVWTDYbYhQhVyymOi8dWeURwAf+8LEnuooIkQDzH6dThgzKqZGUlKb92ep2K1EUdWuEGWuWZ439L9zsnEXSPuaeOn8hTll4Ln+sgyu4f/B7ze6pDMjv/DaWxXrpmOyaPO9mzlqT3R3q3pIxLHKE9Pgf5OiICff49v/XN5eJ44tZJGPvNZx1vA8+DjNv7Q+A5urxykofGSBqltqrCs/Y4QUgg/rCXPCgAbkU5z4FesbHVSfEAXAK4ZM12DB88AIeOnUBtVQUurqv2rDuVBmNUUOlFAsiJ1Kly0ID47pf00pP0UVkCSFlwvIr8fgJw8laXrHG1MrnCQZzdNHKFIXYhgvLGCHIyNLXsw6ad+xyDIF3b8kQQh8uXJ0DzSq/unpRnM+KEwU/g9W+Hjnv+JgMfV2ilkCow7jXluRd+ofNs1WRRgcgnnaTpere2dQLwnkS5d4WHLHgyewKZyexRQVVoIDcj7qnzCwF+7Qo3RBi3F4i3q3pq214PgR4+eABuuWSs48nildtU5Ttl8TpPbiilRgDxkyDAm6PL8zn5upFkYsridR57wt8bdwsnvyIDHvZOliVwmEnPlCfLnIMHkTqKdtC9pb+ptV/UkN46Lu9BUOUB9mZH+d9RwY9okueUxsULsiRJb2rp8AjXk52Is3o5VyQsS3EEDBmHDh3CiBEjcPDgQQwfPjzqr48UUnCU8oBkiFM2V9dp8vSWMEybTXmyDF++bJyzWGjxqN7DEdcYsynC37B8M9r3H8X1F49WGrIVG1sdw00nQO4VaqyvdqQ24nTX+xk4fs+23/cx3/f5FZbEcc8oOVtVmaYqLvCrYgPctna59JaNCjJMBABt3/t4hhdVdZCQIVwiD7qNS1679KTOnzleqQogX0frSyfQOOUBisDHRvdHykXFKeuSLXeTQ/Zf5XZU2rs47J/f3skjTqp5p8qHlF5yurdxzL98eJPx2IUMfnLpbdOhxEydSJ2EbGMEuAKv/ASUADLCLoRRVRV4+8AxZVgpSmQzNpPHnYwlrdszTpxELgicIAGZBQpx3j+/kzSXePFL2JYnbiJ1u7738diqR6UwrLzGbNXm0svCKxFvu/wsLRKgea4dgcKxMjWAh9EBOPlDUkg87nGpyILcLFWJ7hz8vUSWdOzPyStckz45d4A3x5WPVOZGRg1+H2SHD37NshBO5YyQnxklVB5V7r2nFpG8X3kuIHsJ6N8P2BC7CMAXjGrT6e35uCE13wB4igxGVVXg9ywxNVmWcHSDeEsaAsmjSEFgXcYLeO8Jv34uMQHAQ5BUp784IQ0c14IjDzGFyX65tR3XXDgqo/CCj90CMgpJ6HVRjcXvexvrq3FxXTW2tO731R3kIVopNKpDHuSsFc2e9IYE4ITsaMPnXgUOyrHziwDEhVwJtSRFnNxxCQpOluImrRJczoTysuS4AeC6i2qdMRF4rmGctoMf/DiuS8u3yHxweo9OzgjVnJfzkOuT8nnIx8FzeSemuwuVCgyxiwjccKnyFPjz2YqJ4nBtc803bnRlTh1VS/akLCfUQChPJtDd45VymVhf7cgDkMyGTvAjd3wMMtwSV29YFeQc4aSOewbIS/SU6F08ZfE6z/tV8i1Rba5yLKpDEK9u5p5IHsKVGxBVIvIxRQ1VNShtPIBN7vx03ObOaPAUTsSdLyjBc3SBTOX+ZFnCCeVJUrRqTqPWY+OQKTe01m5YvhllTNqquyeFH29szehUQcQ17rkIeLtmyE4u82eO90QldHVGSEjtVL+DHT9ASoUDwNsxCtDLGcFhiF1EkJOJn8zIk0KkLmWJ5vRpIicr/KIE19eTCbXzZ47Hk1vbHU8ceQuWrd3hGLDuHre8X+ZEAfEVGfD8EC6kzPNF6J4AtqHjLba2iLCsX+GIDuCFEXSNsiKTHqfkdcrd4jl3cRs11SFJSrZQAUFzawfT5OpwpITke+Ick6oalJOc4YMHKD0KNAbp+dFt7smm637FR/L/s1Y0az02sh2AG77kHlUuc0JRDVpX3IMMeHUz45yLPOVB5qDSGHluGR1AbF1I9eE87jxjeS3qoooOpwc4r5J9s7PLCUEnEwln7M2tHbHbwWwwxC4C9DaZuCeF585wY8hFO+PafFTJ6VQtBLitxVQbDmCfBN2K4MzTdxyhFb7pcCFlLqrKL8s+ve3zuOoBeDwNuoWICDIXRp60b1i+2ZPnRKSO0JgOR8Q5Rn4Ioo2Hrw1OXnmHCb6uJo87Wbkm4xTxBez1zsfC8+UuOcvO6eEeBfJEygIX7t2LC36FSeTV/8VLe5zH+Jyise3Zf9Qzfp3GRiDbYXtx3MgF6QryPLW9aRkbTuqGDx6AV+/5qKc4hvqSxjUXpUQX2YTG+mqHfNLhjzrz0L1R5T3qJAvSW86xlD5qbu3wkDoujxS3HewNpio2ZPRWoSMr3VQVbzI8ETX8xiCr+Nq+93HP47zJOhEgXimry0nHrxpMCvlyqJ6TLap0Bs8xoapYWQ3Wsugqz+M8tymu0zcnPlx3kO4H/fa8k8jcGQ1KyQ3d7hONja93bhOyebukDmGc1ZWAWg1Albs1qqoCB7vex+F0BS+Quf6oAlGXsXHwMD/gjbTwymT5XG1VhSenlUdj4pqTKjuvEvTl+xbX4yN76FckGDeyqSDQ769qDAAgI8c8jjGZqliNQKdQ6sqwak4jrn9kM5JlCYxii8OvlRigVpOPEn66TbI/Kj/x8E2JC9zyStkoO01kA/eY8EopTtykcW5nYWc3/8LrGdLBmKmQLS2AwPsp6mKcZbiVrpt7V3tSVkYnkR+u2+kQJb/iCh1AxR9UZS0Fs3tSlidMxLsd0Fj4WoszJUClBgC4Qrc8d4vAQ+U0NsCtQNRlbBzUB1zaDip8qa2qcEgOgYS1OaQYehxQ2Xl+H0elPXaktwcgo2Kb8pF1zLvjvXAlwePXv6V1v7JPe75VtHHCeOwiAj9tAvCcegBk6BmpHtNpkcjTM29DNbp6SIanAcjURdJpPIDXi3UilXJCsNyrRZ4gwKvpBkAbr1Y2+KUFZLtXutwnMsg9KQv/sW0v9nZ2OeR0VFUFRlVVODkxlNPE7xdBV4+d1EGT90g+ns0DoUtek7x2ILP1Hn+M7InULJSfqcPYCNyrVZ4sQ0/K8vSd5jm6qnur01gANfGhMco9iXv26XWUyuGnkRkV/NYHPxzxfEGVd5KcKbyYKa6Kc+Ox0xCc/EweV5PhnVOxawteg6eDJ8ivn+PFddX47zcPOgUUqrCRdGfrBFWlFIG8WoC3UooU5WWeoE5GmqO3HBM/eQZdwHMEaZ5RkcFnL6r1GOW9nV2YsnidUhNNzksdyJ0f4Qbs63vw+e0eT6NuorAS/Pr4XKKqyua0ZzKZSHgqYptaOhwy7ke8dbhffshGXqVnSxaQ6QKetsDthEpjkPLOPL2Jma5pnF1CVOPgaG7d71y7JOfdPSnHMwx4dVgb6/VRPvCDIXYRgpO7bOCePN53VAdyxyv4qPJ17owGvNS239HcOrOyAoCb6E7g7nkgvnYzEtxr5U2yr3Eq2zg5Bdxr56HMuMeRDVTxq9osU5aFUen7CWSSXN2kaKTWVo9l4Zdb253nJ4+rQfv+o775kfQZgB5z0I9w0/XZjeTt19J8o02LqtEb66szQudE8MjLGSXRo+sjQXMCF2Am7baeHi8BImKg05zzg0r3DLD7gPOKSgAeojCKVcHqME5OxDPnnoXX3zqkFJQfPniAU3gAIMPrH6eQNB9HU8s+T+5cY301Xn/rEJpaOjySOtL5ICMX/PN063zCYYhdxOA9N/0gm7STfhDPtYkLfLFQNS/3+DS1dOCtA10ZeXbUADyZ8LrG464qkqFIqU83fLB3idBYOfnWgRyowI01VfySceObvl+bLv63LjlNQGauHYCMDZSDwkfyYETjiXsO+uWwcgIrOxjMnzneM35qLg+oOzVE7RXi107V8pzUyYgFJw3ZOqLoBL5Wmls7PB46kgyh4gIarwz1xdETVgXp3ZKHJwAYNKAMx0+4JJ33vOV2E/CmpcRpH+fOaHA8xHRP6Lrob5p5tVUVvhElKsIiYq5j5xMOQ+wiBp1segN39za17MPEsTVOhVncoT5O7ih8QmEG0mkCvKc37l2ZtaJZC1V8wLupcvkIPhYyYIMGlHmSh4l8P7m1Xak7GDfIWNNptbG+2hMCos3mzMrB6cf2KfOa6H1A/ORVEk+e+wJk5qXyVAbaRDmR49V/cd03v+8kAivvB5E7ABkHEgAZ9zeOXEJJvmVov33/UeX7+GFQxzXFweVZVPnGnNRxGR4ATnGMLlB5sLleJwAcP5HyCM8TqeNC9FvbOj2FTFz4Ny5QgQvH3BkN+PHGVs+1tzMPq9RmJakdvqfFfSDMBlM8ESF4jh11XCDw08+hYyc8TeR1qUqUoE2V90vlukaA92TO3dw6SRZwELmTjbxV8ibSM0JhW53ulUoaA/A2t+bSBeecMdwJMegkc0KQuWWyIEcFlWwI4I5H1zXml/zN113Loqs85FbmdsU1Jn7tdH1lCeD2K1wbIFuHAfDcG5WwsW7gRR487E3RjFFVFdjb2aUsFNFxTKpiF7/DEseoqgq8c+i4Zz/QxW6o7ASNSRJTwLaH14mc3bglx4D8eFPp1O+WOGRV7N50nhrh3DNHoLaqwiF3lNip44YDePOweBunZCLhFH0A8JA6+pvLVegGClXS2FbNacT8meM9pC4BV4md7k9jfY12pA5wO4YA3hAlGWaS3KG5V5ZIYNnaHY4wKY1n7oyG2EkdYHu3VEU5smm5hJ2073qClqSJh66kDnDHSli6ZrsjCkvrjv6m9aZLnhq/T3S95OBYNafRuX4ATgtF7qXjc406hegOIqLJMrs7DWCvL06E5s8cj5ZFVzn2QzcbOHdGQ0bHiV3f+7gzvwB3bnH5j72dXRkt4QA4v0dc4OubpyNYsO34LZeMhby69s4uZx6Oqqrw7HG67lsSJhQbEWiDJR27UVUVODN9Mmhu7UBPysJG1nKGVPN13HCk+ChVyQLwnGp4LiElFuug9J8reDUshwV7PAQdNZsI1DFEdcoGbIMsPVpxinDmAknqgMy8Og4+nidZkYVu9022tONYtnYHVm7a5dENkyLnHDrkqfnlaz65td0Tlr39CtfzTa3gdLs3fpBRlTMrB2eoAPB19+RL7RkFCkD8KQ4EIuLyMS7fArhVolJFgAtrx71/qQ5tvMDFArBy0y6lIgVhdPUQj6xS3DnuucKEYmMCT9rnrl0/9X9dIBcLbS6UWKtSIifErWvUG1TirxySHHGpBp3HRvdIpZVI4DIUQOa90kFCg8AJEOBWuU0ed7KTF0MhMA5eREHFPDrdN772aTxcsw9ww+Y0Pp7QLgsS4s6xU3lCL128ztNTmheIUXEF3Sed7k1vUOm8kb0YVVWBBODJ39Iht1Mim/3jxWQ8dKkS1ee/QZzETqYy9GYH/ToN6ZIWZUKxmmGpwuU+d0aDsyguXbwOQGYuAFf/1wW82IAnSHNSR8UFsqLUzwOmA/iinTzuZMfLRaitqnCkZwBXqkF2cNANdI9qqyqynkwfet5t/s29PfQZcYdUOObNHI8nbp2EuTManPlIeYFEGj57UW06RO5WHVL4pbG+Rsv7NndGg6dib0laM5KTuusuqgXgjpNIHclnUMiJ9/WNI+SnqvTl+oNUSdnc2uGEJclmUCqHTvemN1AIk+YY4GpeAq7SAY31huWbY7tWFbj9e+LWSVg1p9GT3kBzSeajkW3hoPtHEZ24wFMZuHfbAjKuGYCvPNKb6cdpfeoYQpcwodgI4CeUSFVHezu7MhTydSgVV4GfLCXJoxMrr5oCvGPRVQNIbkSy7N2Cey/kKfW2y88CoN+94sa6qWWf0nDR6ZWLqHJCwOU2dBkXh2o+Al4vHm8RRPeRKhV7EzGNGjJEx+8Z5f7w+ZcAMCkdHvrsRbUeHTzyBsXRVF7lgZL3h5rKb06PRUqD6KDbmSv8BM57LMshs5R3B9jEXPaZjRMqIs4reSk1iNYUt4+817nzeWl7ooMnUqod9FZ0lUwkMGRQEodZ5ImEjHWRSOoNhthFAFU+Bd90l67ZnkHqOMEoBeMmFeYJKrKkowYQN0Dk5eIVbbyjBuA1clJrENDjXvGNVJb7A1CGK3m/Wy5lo8N4skFVQUoCqSrY969GuTbjhmot8fCRrGz2I946jIVDbvL0m9O4OKnTtUOICrJ6XEUaOEmlMe7t7NLmwKQiYPQYb7VIB/KelOURAZc6dlyzT4fxAbYQey6eth7LwuFjJzzpRiqJJJ1hiF1E4BuI7MAgS8l5/gW5jzft1Ev9H/B6IgF4qqIIza0dnrCt7hpAfjpptLE2t3bg4rrqDIMstQbjBJEcMswU9mmsr/ao4VNi8JmVg1GWSDgeofkzxzueh2QioY2IajaoBFaXrtnukd0hORoJ3U7hqgR2eWXJRAJfu6IhJ7kXHSCJ99wZmS2qVAVjut0bCekVJw8cF2MGvMU9uhcncdywfLNjB3gxDnUg4kgmEs6hkNabDuSO58fR+pdeb5kXyaGjLFdvMMQuZMhWLUTqypNlGUKigCvgyxdIU0uHk1ujE6S3Q3qAKNRCYeZSkC2Q4WUeXqHxqHoFUlcHHcYnCTcP99CcAryiqgAdJPY573XInSa5ddkg52Jza4eHDDW1dHjkGWR1mw73DcjUHQTUFb896U3T276pQxvhbwlJvGetaM6otKT8NJmX19SyD4BtS3UbG7cXdJ1E6mqrKnDNhaPwkMJLxKVoaIwTx9ZoNb5la928W9mvXAU+J2VxSNyQ9kGSutqqCtRWD3HsRHdPSgtSWigMsQsZfl4tajJcy5KeySBQqXicVW2FQFXtBvD8rZNju7ZcwRupc0kXEhyVeT9cjVyXe8SNWGN9tWfzp+tcmh4D98a5IfP9GZVg/HldIY034M3vJJJ+2+VnaVOJyOEnJu1XrUeYO8Nt/8TzuHQCvzec+PDOLoC9yU5ZvA4b77w8IxdKR/vB59ATt05y5Kpqqyqw8c7LlZ2GZGGIe8/1GZ8qvKzqCELwk1PSyWbIFAe6ZpqH7Sw0TuPXrU92rjDELmTIzUYmmdJkon/LXBqdCIMKpM/H835og+ltQ9IVKv0tTrTJuFEoScccND7vtu0+oNQEk55HLsFDhE/HHLRcQV4RXoFIRp0TeF1Inl3oUO1s8Dw5HVCr5JdCgQuBE1CS/1B1dmnv7PK0JgT0DlvyqMwZlXa1ZTsriJP3TeX90m18qmIKIncc82eOd8gSESVdbYVMcSChZdllAvDaPd3ywXOBIXYRY2tbp/NvCl2qQrJAZlhCR1BLJh5KVhktoHTIgTRqfJET6dnSut+RM9A1B0OG/vnvTp7kJ7e2O9WUkqTfsHyzJzykQ0ilN1A4jMIps1Y0e/JqeN4P4G1WHjc4uVwq8raSiYRDDmS+YCmQOoJcO/zayfsNoGRIHeCNyvziS3ZxAVc54OoAPCpD0PFgKA860tuVYK/h6So0N3WzFX4afXbkbJ8y91v3/M5sMMQuAhBR4JvsbZef5ciDSG8Q7xRw6eJ1+P2dl8c9BF9wLw+FXyU55fImsjJYF28Jh+p6OLnjGxNpDepmmIFMCQZ+ndx74ghilyUyDhjkPdJxfBKUEySJghTCpUpmQF/SQHNw7owG1C981tOSiq6X94gtFSTLvH2lOalZNacxY0xxtkXLFaoUAB6WHFVV4Rye5s5owNhvPutJ1i+F4iTp7aJCMlUFs25rShVW9uam+udH6zSOfGAEiiOA6mQDwBG0BLzkbv7M8Y4Y7t60ho6O4KSOiABPUHcrSV15E8pZ0030NhfMndHgabKuc89Hbsy23/cx5XWumtOIUWmhTtIY9JI6PdvnqAS/+Vyka764rtoR7gXc/r4/XLcTgL3h6j6+ZWt3gF9ic2uH8zzfaMlTqTNUc5L33lRVA5eKSDHZNlpHAHUPqfEUlC1bu8NT1NNjWdrbwMyOKN7iK296R7V29lDqJ/L+1yTmrds1FwvjsYsAfj0TAW+vPS4HQq+nU5GOXqFNO/dlFX2k9k1S00jXk11voEo+ladOpzCz6vf1u87PivwSTup0TcZXiQrzMDJd87yZ453XkteY5wPt7ezSclOla+YeEcDNceL6Yfw5HW0Eobc5KQXB+QFDp7WVK7jmmyu14e3DDMBDBHUcn6ov85I12500Ik7MuUdcpwMTOVaWKvYcIni6VO8GBUPsQkZvJEZ2LZDNr3WedJecdbLypMMLQLjgrdTw09GQ+YEXUEgiq1suhirxGcj9OmXuk25QkVQKI6sMN7121opmT5K3jrlNgDdMTtfI15iq5yigNwHKNiclqVMdgHUeG0HmdxLRlmNU3Tddx8cLeuQ1Uz4d1+/T7fo5sqX86HzdhcAQu5AhDZpsI8NzzLgkg2pz0g1yg22sr3baN3EBVerK8NDzO5Tj0x35eMB0QK4GTBVKB6A16SHw37+3wwLfWDmp09UTDnjbOVHe2fyZ4/Hg89uRsrxC5oB+hwsJOSd5JenFddVICUkkrllHhEnXsQGZ+Z3y4EdjlASJ/t3Usk/L8fWWb0wkVndS199giF3IyHWTbW51BRNlorvOmDujwTmxvbSr0yF1PNm7J2VlJE2XyvgA99QqIY2ybkUg2UAbTy3LQeP3ramlAzcs36xdT1+ObFW/HORtpfGVJ8t8va66QNXOCQBSVqZHiKDbGLKBh9NlOz+e3E4eL52Ry8Gvt31A9zFK5Lr2DOKBKZ6IGE/cOikjkZ1X7+363se1Tcj3wxO3TvItKgBcI54tkV9nzGOVlKprbm7dr2WuVjb0pCyPdtjkcTUO6SFQ0YuuUFX9qkD5d6qDhQ4t4Pwgx1fKa0iCFxvw4olSzL3NFmbWeX4Vg1zXnkE8MB67GMBPc1zklvTQdA7zqZBLUUGphDH9oLrmUt2IANeD8B/b9jpJ0FJvUNeqUSB7QZK8FzL/TmdPHaG3xvKluIYk8gmn64z+lLsF5Lf2DOKBIXYxgbuyVSK3uufMEHorKqD8mEIT+XVCX9mICLxqFPAW7gDQVo4mn5zHUsuPBDKveamC4PHwXSmtIQkT0istlOJ6yhU871NCV81VPxhiFxOyiccSdF8guSzybDlauo9Phb62EanEs/mYdCQN+VT9FlshHAfkNcvNRKWOX6rIxQ4a6INSXE+5QiWjBGR6z0sBCctSdO4NGYcOHcKIESNw8OBBDB8+POqvjx1+ruxS8/70pRNOrqB71ZeqwfrCmPrjXCx1cIUAaQcBmHtmEDl03pvz4U3GYxcx+pIr2+SWlH5uSV8ZU186bfuhL5FXkgfhUOXlGhhEib6SbmOIXcToy67svoy+RMgJfWlMfa24RYW+RF5lmyfAO6bG+uo+cc8MSg99Id3GELuI0d+8XH0FfZGQ97Ux9ZXTth/6EnmVdrCv3rO+gr7kLe4NfSHv0+TYGRgY9CmQqC9pKkqU+kbUF3IiJbgQ8/b7Phb35RgI+B0gSvVg4Ye+kmNnBIoNDAz6DOi0TZqKs1Y0Zzyvq4xLrpg7o8EhdaUaKuIwYrf6oy8JSvvBLzWlFMXATSjWwMCgT0AaZuroMmtFs0djsdQ3or4QKiL0leKd/oC+nurQl1JTTCjWwMCg5OFH2ojckQev1DcinUNF+aK/hPf6GkzYPB4YuRMDA4N+Bb/T9qo5jRi3cLXTJ7aUiUJfqmIG+paHpL+gL3mL+zIMsTMwMCh5+BVCLFu7wyF1pb4R9TUiZBQCSgsmbF46MMTOwMCgT6KvbUSGCBnEhb7mLe7rMMTOwMCgz8FsRAYGwaGveYv7OgyxMzAw6HMwG5GBQXAw3uLSgqmKNTAwMDAwMDDQGEag2MDAwMDAwMCgH8IQOwMDAwMDAwODPoJYcuwo+nvo0KE4vt7AwMDAwMDAoGRAfCmX7LlYiN3hw4cBALW1tXF8vYGBgYGBgYFByeHw4cMYMWJE1tfEUjyRSqXw1ltvYdiwYUgkSrcZt4GBgYGBgYFB2LAsC4cPH8YZZ5yBsrLsWXSxEDsDAwMDAwMDA4PgYYonDAwMDAwMDAz6CAyxMzAwMDAwMDDoIzDEzsDAoM9jw4YNSCQSOHDgQNyXYmBgYBAqTI6dgYFBn8Nll12GD33oQ3jwwQcBAN3d3di/fz9OPfVUU7BlYGDQp2F6xRoYGPR5lJeX47TTTov7MgwMDAxChwnFGhgY9CnMnj0bL7zwAh566CEkEgkkEgk8+uijnlDso48+isrKSjzzzDM4++yzMWTIEHzmM5/BkSNH8Nhjj6Gurg5VVVX46le/ip6eHuezu7u7sWDBApx55pk46aSTMHHiRGzYsCGegRoYGBgoYDx2BgYGfQoPPfQQtm/fjnPPPRff+c53AAB//vOfM1539OhRLFu2DE888QQOHz6Ma665Btdccw0qKyuxevVqtLa24tprr8Wll16K66+/HgBwyy23oK2tDU888QTOOOMM/OpXv8KVV16J1157DQ0NDZGO08DAwEAFQ+wMDAz6FEaMGIHy8nIMGTLECb/+z//8T8br3n//fTz88MMYN24cAOAzn/kMfvazn+Fvf/sbhg4dinPOOQfTp0/H+vXrcf3116OlpQWPP/449u7dizPOOAMAcMcdd+C5557DypUr8d3vfje6QRoYGBj4wBA7AwODfokhQ4Y4pA4ATj31VNTV1WHo0KGex9555x0AwLZt22BZFsaPH+/5nOPHj6OmpiaaizYwMDDoBYbYGRgY9EsMHDjQ83cikVA+lkqlANitEJPJJP74xz8imUx6XsfJoIGBgUGcMMTOwMCgz6G8vNxT9BAEJkyYgJ6eHrzzzjuYMmVKoJ9tYGBgEBRMVayBgUGfQ11dHbZs2YK2tjbs27fP8boVg/Hjx+Nzn/scbrrpJjz11FPYtWsXXnrpJSxevBirV68O4KoNDAwMiochdgYGBn0Od9xxB5LJJM455xyMHDkSe/bsCeRzV65ciZtuuglf//rXcfbZZ+OTn/wktmzZgtra2kA+38DAwKBYmM4TBgYGBgYGBgZ9BMZjZ2BgYGBgYGDQR2CInYGBgYGBgYFBH4EhdgYGBgYGBgYGfQSG2BkYGBgYGBgY9BEYYmdgYGBgYGBg0EdgiJ2BgYGBgYGBQR+BIXYGBgYGBgYGBn0EhtgZGBgYGBgYGPQRGGJnYGBgYGBgYNBHYIidgYGBgYGBgUEfgSF2BgYGBgYGBgZ9BIbYGRgYGBgYGBj0ERhiZ2BgYGBgYGDQR2CInYGBgYGBgYFBH4EhdgYGBgYGBgYGfQSG2BkYGBgYGBgY9BEYYmdgYGBgYGBg0EcwII4vTaVSeOuttzBs2DAkEok4LsHAwMDAwMDAoCRgWRYOHz6MM844A2Vl2X1ysRC7t956C7W1tXF8tYGBgYGBgYFBSaK9vR2jRo3K+ppYiN2wYcMA2Bc4fPjwOC7BwMDAwMDAwKAkcOjQIdTW1jr8KRtiIXYUfh0+fLghdgYGBgYGBgYGOSCX9DVTPGFgYGBgYGBg0EdgiJ2BgYGBgYGBHli/CHjhfvVzL9xvP2+QFbGEYg0M+hp6enrw/vvvx30ZBgYGaQwcOBDJZDLuyzDIB+sXAXuagF0v2n9PW+A+99jV9uPT74rn2koIhtgZGBQBy7Lw17/+FQcOHIj7UgwMDAQqKytx2mmnGVmtUkFZ0iZvY6cC6++zH5u2wCV1Y6d6yZ6BEobYGRgUASJ1p5xyCoYMGWI2EAMDDWBZFo4ePYp33nkHAHD66afHfEUGOYFI2/r7XHK34XuA1WP/ffPT8V5ficAQOwODAtHT0+OQupqamrgvx8DAgKGiogIA8M477+CUU04xYdlSASd3gE3qEklD6vKAKZ4wMCgQlFM3ZMiQmK/EwMBABVqbJv+1xDBtgU3mCFaPf0GFQQYMsTMwKBIm/GpgoCfM2ixRPHa166kD3LCsIXc5wRA7AwMDg/6KQ28Dh/+qfu7wX+3nDQyiwvpFwIPnu4US/7zfroLd9SJQOcaQuxxhiF02GD0dg36EDRs2IJFIBFfhGzNpmD17Nj796U8H/8EBjKujowOnnHIK2tragr22fJFIAIcV4zn8V/vxgDxe99xzDz70oQ8V9RltbW1IJBL405/+BAB47bXXMGrUKBw5cqT4CzTQA3uagAO7bRJHOXXTFtgkjx5P9cR7jSUAQ+yyoSypPiG8cL/9eJlJxo0dK6+y3fYqPHa1/bxBBi677DLcfvvtnscmT56Mt99+GyNGjAjmSyIiDX546KGH8Oijjwb/welxzf7c9UgkEs5/NdXVuPKT1+DVP/+l149YtGgRrr76atTV1QV/ffnAsoDyod77RPenfKj9vKY477zz8OEPfxhLly6N+1IMgsLoyUDlaJvE0b77wv2uB69ydLzXVyIwxC4bpi2w3cCc3BGpm35Xaejp9HWvI+keSXJHuke6k2+N7k95eXmwml8xkYaenh6kUimMGDEClZWVwX/BsNOAYacD73fhyium4+2338bbO17B2id+hAGDTsInrp+d9e1dXV34yU9+gi9+8YvBX1s+OPQ20P2e/R/dp7f+ZP8/WW4/rnmO2i233IKHH34YPT05eHE0WmsGPpi+EJjwefvf6+8D7h3p7rd1U4C2jfrbdA1giF020EIncscnGX9eV5CKt8rr+NjVfcPrePPT9kmOkzsuZql7iXwMXuHZs2fjhRdewEMPPeR4m9ra2jJCsY8++igqKyvxzDPP4Oyzz8aQIUPwmc98BkeOHMFjjz2Guro6VFVV4atf/apnY+3u7saCBQtw5gcuxEmjz8fEq2djw2+fdklD+dAM0nDPPfdg9OjRGDRoEM444wzMnTs38/POPBMnnXQSJk6ciA0bNjjP8+s855xzMGjQIOzevTsjFGtZFu6//37U19ejoqICF1xwAf793//deb6zsxOf+9znMHLkSFRUVKChoQErV67M/AEp1DqwAoOSFk5L/RWnDenBhyZdhjvnfQXt7e149913fX//3/zmNxgwYAAmTZqUMQaOX//61x6STeHMRx55BLW1tRgyZAiuu+46T+h8w4YN+PCHP4yTTjoJlZWVuOSSS7B7924AQEtLCz71qU/h1FNPxdChQ3HxZR/D88+vde8HgLqJV+FfHvwxbvrKnRjacCnGnDsR//mf/4l3330Xn/rUpzB06FCcd9552Lp1a8a1//rXv8b48eMxePBgzJw5E+3t7b6/AQCsXLkSH/zgBzF48GB84AMfwI9+9CPP83/4wx8wYcIEDB48GBdddBFefvnljM/46Ec/io6ODrzwwgtZvwuAicCUCsihAgA93fYhAygth0rMMMQuG8gQAPbkkpNMd0MgVbzJoPUVFW86gXNyd88IN9F29OS4r7B3xOAVfuihhzBp0iTMmTPH9ja9/TZqa2uVrz169CiWLVuGJ554As899xw2bNiAa665BqtXr8bq1avxs5/9DMuXL/cQpFtuuQWbNm3CE794Eq9uXo/rPn45rrzxNuxotQkGut+zPV7DTgMA/Pu//zuWLl2KRx55BDt27MCvf/1rnHfeeZmf98QTePXVV3HdddfhyiuvxI4dOzzXuWjRIvz4xz/Gn//8Z5xyyikZY/mnf/onrFy5Eg8//DD+/Oc/Y968ebjxxhsdUnD33Xfj9ddfx29+8xv85S9/wcMPP4yTTz4580ehELMDC0AC7713BP/285/jrPqxWXUNX3zxRVx00UW+z2fDzp078eSTT+Lpp5/Gc889hz/96U/4yle+AgA4ceIEPv3pT2PatGl49dVXsXnzZtx6660OOXzvvfdw1VVX4fnnn8fLL7+Mj864DFffcjv27Nrh2jUAS1f8Gy758AS8/Pvf4eMf/zg+//nP46abbsKNN96Ibdu24ayzzsJNN90Ei3lcjx49ivvuuw+PPfYYNm3ahEOHDuGGG27wHceKFStw11134b777sNf/vIXfPe738Xdd9+Nxx57DABw5MgRfOITn8DZZ5+NP/7xj7jnnntwxx13ZHxOeXk5LrjgAmzcuLH3H68vRGD6I3q6zT3KF1YMOHjwoAXAOnjwYBxfnx9Wftyy/nm4/d93Tnb/vWGx/d+678Z9hdmxYbF9vUvPs/9/T5X9/0c/4T6v+xj8QGPbsNj+m+4Nv0choqury3r99detrq6u4j+MxkJzLORrnzZtmvW1r33N89j69estAFZnZ6dlWZa1cuVKC4C1c+dO5zVf+tKXrCFDhliHDx92HvvoRz9qfelLX7Isy7J27txpJRIJ680333Q/+N3t1oxLP2wtvO0Wy3pzm2W9u93zvT/4wQ+s8ePHW93d3RnXqfw8y7JmzJhhLVy40HOdf/rTnzyvufnmm61PfepTlmVZ1nvvvWcNHjzYampq8rzmC1/4gvUP//APlmVZ1tVXX23dcsstqp/LxcG3LOvQ25Z16G3r5uuutpLJpHXSkArrpCEVFgDr9FNPsf74xz9m/YhPfepT1v/+3//b89jKlSutESNGeB771a9+ZXET/c///M9WMpm02tvbncd+85vfWGVlZdbbb79tdXR0WACsDRs2ZB8DjePd7dY54+ut/9+/fNO+L29us8aMOt268ZqrnPv09o5XLADW3Xff7bx18+bNFgDr7bffdq4dgNXc3Oy85i9/+YsFwNqyZYtz7RdccIHzfG1trbVq1SrPJd17773WpEmTLMuyrEceecSqrq62jhw54jz/8MMPWwCsl19+2fO+v//7v7dmz56tHKZyjUa81gzyBLfrcs/tx8iHN5nOE73BL8ekbWNpNCSetsC9VsCr4s1Pq6UIrlD+8s+9z1WOKa3T3bQFwIsPuF5hTa59yJAhGDdunPP3qaeeirq6OgwdOtTzGLVu2rZtGyzLwvjx4+0nLQuAhePd76OmKl2U0f2em3NnWbjuuuvw4IMPor6+HldeeSWuuuoqXH311RgwYEDm56Vx/Phxj1esvLwc559/vu84Xn/9dRw7dgwzZ870PN7d3Y0JEyYAAL785S/j2muvxbZt2/CRj3wEn/70pzF5svD6kreu3B7/9MkX4eFF/wjAwv4Dh/Cjn/0KH/vYx/CHP/wBY8aMUV5LV1cXBg8e7Hut2TB69GiMGjXK+XvSpElIpVJ44403MG3aNMyePRsf/ehHMXPmTFxxxRX47Gc/67TTOnLkCL797W/jmWeewVtvvYkT77+PrmPHsefNtzzfcf45DbaN6H4Pp1bYXjnuQT311FMB2B0dTjvN9roOGDDA44X8wAc+gMrKSvzlL3/Bhz/8Yc/nv/vuu2hvb8cXvvAFzJkzx3n8xIkTTuHOX/7yF1xwwQUe8W8euuaoqKjA0aNHe//x1i+yoxiqtfbC/Xa15fSFvX+OQXiQexLdI/LaAdrYRp1hiF028GqcXS+6k2x0Y2mFMm9+GrinEnbICDa5o3Bsqbu3py0Amn5oV1EhAcCySd2B3fYY66aUhsF+4X6vEXvhfi3uy8CBAz1/JxIJ5WOpVAoAkEqlkEwm8cc//hHJrv3AkXec1w096ST7H5SoDwDDTkdtbS3eeOMNrFmzBs8//zz+v//v/8MDDzyAF154wft5oiUUJ5cVFRVZiz7o+p599lmceeaZnucGDRoEAPjYxz6G3bt349lnn8Xzzz+PGTNm4Ctf+Qq+//3vuy8edhpw/HA6R7AMJw2pwFlja51x/a/zP4gRH5iGFT9cin954EHltZx88sno7Oz0PFZWVuYJbQK5dUugMdP/V65ciblz5+K5557DL37xC/zTP/0T1qxZg8bGRnzjG9/Ab3/7W3z/+9/HWaeNQEUyhc/c8hV0d5/wfObAAQNtGwEgMWiY/Ri75/Rd9JvKx3t7jN63YsUKTJw40fMc3WP5W2TD/v37PYcPX1Bqzcs/9641npqyfpH+toLAiapEqRLVVA/LYWfhVyJ8u17Uwi7qDpNjlw00yeqmuI/1dLtGoBRyuIB0UYGdB2QjUVrE1A8kZnn8YPoByzbWt79qk7tdL5ZGLiQ/pd79bmYeUAgoLy/PrZIwT0yYMAE9PT145513cFZ9Hc46+xycNXY0zho7GqeNO9fOrUsn6qN8qJNnV1FRgU9+8pNYtmwZNmzYgM2bN+O1117zft5ZZ3n+I29RLqCiij179mR8Ds8vHDlyJGbPno2f//znePDBB7F8+fLMDysfas8zy0tsMGgYEoOGoawsga5jx7L+Rq+//rrnsZEjR+Lw4cMeTTbSa+PYs2cP3nrL9bBt3rwZZWVlHo/mhAkTsHDhQjQ1NeHcc8/FqlWrAAAbN27E7Nmz8fd///c479xzcFpVBdr2vg3nwOcg/2rlEydOeAoq3njjDRw4cAAf+MAHMl576qmn4swzz0Rra2vGvRg7diwA+3698sor6Orqct7X3Nys/O7//u//dryuWTFtgXvoqxxjrzU6tJO90N1WcOzelL0YZPemeK6rUBBRBezrl/sTVcU+drX+hYsxwxC7bKDTDm26LMEYdVNK4zTET6P3HEi3aEmTvF0vlraKd1nSNtKDme4ancAPpBP1R4zWm7yqkrd5kvfv7la/r0iB37q6OmzZsgVtbW3Yt29fhvelUIwfPx6f+9zncNNNN+Gpp1dj18438NL2v2Hxj/8Dq3/9S6+mXdob9Oijj+InP/kJ/vu//xutra342c9+hoqKCowZM8b7eU89hV27duGll17C4sWLsXr16pyva9iwYbjjjjswb948PPbYY2hpacHLL7+M//t//6+TsP+tb30L//mf/4mdO3fiz3/+M5555hl88IMfzPyw4acDQ+ww8PHubvz1nX3469Ek/rJtE7664G68d+Qorr7Wv3Dgox/9KP785z97vHYTJ07EkCFD8I//+I/YuXMnVq1apdTgGzx4MG6++Wa88sor2LhxI+bOnYvPfvazOO2007Br1y4sXLgQmzdvxu7du/G73/0O27dvd8Zw1lln4amnnsKf/vQnvNL6N8z66rey33eSPMkBAwcOxFe/+lVs2bIF27Ztwy233ILGxsaMMCzhnnvuwaJFi/DQQw9h+/bteO2117By5UosWbIEADBr1iyUlZXhC1/4Al5//XWsXr3a6zlNo62tDW+++SauuOIK7xMqEekX7nftxYHdwLerXVJ3YHfpHXTHTrX/ryoG4c+XCsijyqNkL9zvjmnsVPfxUiLgMcAQOz+sX+RKgviVXutOih79RNpwjbaJ6Av3s/57lm3gdr1YuqcfUiQ/dtD+P90nyiecfhcw77X4ri8XkFdYbijTFgAT/489Nj+B3xw3XRXuuOMOJJNJnHPOORg5ciT27NlT8GdJrFy5Ejdd//f4+j/eg7OnXoNP/sMt2PKn11F7xmlwvEFMx66yshIrVqzAJZdcgvPPPx9r167F008/7eTQrVy5EjfddBO+/vWv4+yzz8YnP/lJbNmyxbeS1w/33nsvvvWtb2HRokX44Ac/iI9+9KN4+umnHS9ReXk5Fi5ciPPPPx9Tp05FMpnEE0884f2QQ28D+3Y4oeTn1jfh9AkfwekNF2DiJ27GS6+8jl/+ZBkuu/Bs3+s477zzcNFFF+HJJ590HquursbPf/5zrF69Gueddx4ef/xx3HPPPRnvPeuss3DNNdfgqquuwkc+8hGce+65jkzIkCFD8D//8z+49tprMX78eNx666247bbb8KUvfQkAsHTpUlRVVWHy5Em4+hNX4aMzZ+DC8xTEldDTbXtYc8CQIUNw5513YtasWZg0aRIqKioyfzuGL37xi/jxj3+MRx99FOeddx6mTZuGRx991LkXQ4cOxdNPP43XX38dEyZMwF133YXFixdnfM7jjz+Oj3zkI5n5jJQLeYTJzqR6XHuBhBNudkhdqURgCNMWuNEkLscFlI4kFwcdaNs2ph0n6cMt34P7QvpQBEhY+SQzBIRDhw5hxIgROHjwIIYPHx711+cGOiVUjgaq6ryFErR4KscAF/yDvp67Rz9hLxI65QCZY6DHSnGh8JPcrhfdnBlCyOM6duwYdu3ahbFjxxacDJ8VROAAVx6EP1Y+1P5veG6bb6TgQsRpz5xHIoQetyw9r98P/PcH7PvC/6Y5yORcVFi9ejXuuOMO/Pd//zfKynI7X99zzz349a9/rQzR5gUag1wvKvQyDsD2uN5+++3BtaLLEcePH0dDQwMef/xxXHLJJZkvOPxXHOt8C7s6ujH2gx/C4C3LvPaCkEjaPUlLCTJsyTF2qr2u2jaWpm0nu87nJ/27FMcTEPLhTcZj5wc6PRzY47qGAff0QL3r9jTFe53ZMPsZt4EyoW2ja9z4YxIv3G8TQ51PfOTtuvnpTCMAeMddihh2mjsW3hUAcEVlu/br2aidujN0v5fuPOFWkjrXHkFbsVDBi0AIOZA6ALjqqqvwpS99CW+++WaIF+iDYafZ197Tnfbe+0B2DdEMu3fvxl133aUmdYfetotcBg6xPXQ/muQldZS+kUi6xWSlBB62rBTeyl0vugf6UuyrOm2BVzeW/7ufkrp80T+JXa79RbmrmxLxuUu4FNz3fAyUV5dIesnqrhdtEkegE5PO7Vt4RRhVlBJGN7qJtrqHy/1AOUJDuNBt2rnOc596uvUlR0QgCCRMTB68UoRlpYnb6dlD4TnkQH7ta1/LO5wcGJwCELbx8xxiwL5Pw07Xtl/s+PHjnTBzBhIJ+/68fxRAAki9D8f+AW76xj/vdwsnHru6dFqL8bAl5RNz0Jj2NJXGeDikQoBUCzDoFf2T2FFHhntP8U4UKjTYuxVYNNpeELOf8Rq8Dd9zCd7NT+sbhuWY/QwrmoBtzJPlbscGwCVBPPlWZ7c3nVgpDxJwPam7XrQNO+VocNJaKuDdDTg5ArwkNgfvUKyQ105hQCJHxw/r6XH0w/Bsv3fCDc2G4I285557ig/DEhKJzDBsT7fXq0rzL5HIeo9mz54deRg2Kw6x9AUAriKAIKiUd0xVsqVSRZ8L+JhKaTy8mGzqN9zHp34jErWAvoL+p2O3fpG9oN9+xT61ESkgEd8Bg4ATx4Ge48Arj9uLgp8YqPhAV8KjAhVNOMYtbdQfPM8ONRMZ4rkaurvxufDy4BH2vaS/ZQ5NKYLIgwz1eV6jOakDFOQmPf8oX7D7vdL04B0/rHjQch9nUi5awrI8PWIdDBrm5j4OGubN8SwV0KHI44FkpG7AIKB2oqLQ4D57b9DdtlO0gmwchZMlDuzW+3AuwUkdhZP5vaECOQpBz37GfV8pavaFiP7nsSNPz6Tb7AUOuBMFsEkd4cBud6KNbnQft3pK49TAK3srR8MR7yUjd4BVQvJcGwrV6n7SGz3ZrXLj4eWbn7bHSwUvZAAIpRJuyQVFyp6ECu6d83juLLeylJPTfTvs/3QHEVIaEycQ9PjJDfFcW66gUOWw04GhIpcT8Ba0JMu1DccqwXMIAbj6nWmcOO49+L34gGvnpa3QEbyH+dipalIHuLl3pWLrsikE0GFd5oMTGdR9r4oY/Y/YcY2wKZlNpR3w4oIN33NJAz9B6E7u9jQxnaY0iZtwIzIM3a4XvcbB6ikNTafpC93CCfKk7nrRLvvnpJUjBEMQWmG50ivEQMRJxxw7TuoALxHif3NSV4R8SyTgUifk7Rp2OnDq33lfx1um6QhPOPw0jy6f/Twr1HGKLDScY9mQrhi3l6alJqalmphPsi28VWQGEq5johRJDxX+0T5rMXmusVPt57kqgs7RpRjQ/0KxgLfHqAqeStKEt78qgYcudTUIVNhBi8Gy2JgVOSf8MRKH1HVsvNyfh8oT6dA5EsDYKd57FLAhoDZLR48eRUVFRdGflwHaVHkuVLLc3oQPpzsGJMv1DPlRkQHgEgQZ+ut+zyZKPEFaZ08XebloLATpZSwfapNyXaVcnAIQNm8yQv9pO0DklRPw97uAgRV636vhpwOH/4qjBw4DPd0YeKwDHvvm2An2b53tHQcPwwJQ2/L036UQWiZwT+S0Bep9mvIG7x1p3zPy5PHuUAb9lNgBaokP/hzXf6McBlr49B/F9nUF5Rw4BRHs1J0cqNCwShOFqd9whSEBPQ0DNwLkvqfiFwCAxfo/3uc2/Q7QECSTSVRWVuKdd+x+qEOGDMnarzRvvH8COM5SA8oG2mGk46xp+4njQEc7cNLI4L63WLz3jk2CThqZ/ncFcPQwcPQoMjagE8wrmUgCWVpxxY6BlcCg923R28Rg+7/O9L0YOMTWuzzyriuKmxis53jKq+z/y2sbWAmc+BsAYdOOdwMHX0tXlqbx/lHg7f8Byk8Cug7Y9qSqLrxrzhXpuWdZwNED7+Kd/QdQufu3SPZ0eV+nilCQEsDoyXrna01bwMKSClLHc+5KydMqiVzGvpP2QhIRpwiNI9JcQn1+Q0b/FCj2EAAfUEI+eXfolEQSJ5w0lULi5rerRQEFkGEUyOvF+yfqKMC8fpEbZgbUosu8gIIMHf0/wIRiy7Lw17/+NfiqwGMH7f8GMOHjAYOAY4fgFCAMHu7mhA4Y5G2tFifo2gePcK/pvXeAE4xIJMoye63y69dlLCrQ+DweoDK3CORYundx2QB7jIkymwDpPCYg8x75ge5dIuGGOAcMBoaeEu715QK6N2VJ4P0uVB76H5x2koUEtw1UIEc2HnClQ3ieru6Q+9jgEbY3lbzfoxvVe5buIEeEykaoQLa+lApFCkA+vKl/euz2t/k8wQw1bUy8lyC5gQm8iidurF9kN31W5cY9djU7oXIez/49eAQw8csuYdLZuHGSXTclM6ReOdrecChHg8Zu9dj3MEAvayKRwOmnn45TTjkF77//fu9vUGHLIzbp/PAX3b/fehk48yLg/fR1v/Uy8CY1WU/P0w//H/vPP/w/+7V///+KHE2A+MOPgU3/z3uN2VA+DPjQ5+zXffj/AB/8YvjXWAx+NMnrweL48P8B/vJfwOG3vI/pPKY//Lj3e8TBBcGHnQHc/F/hXFe+2PII8D/PAofexMDTPoBkz3E3OkNEjg5Dxw7a9mDCjV5RX521SXkKCo8mAS5JpXvDNVhLKVQ5bYEbYQHce+SXOtUPSF2+6H/E7tFPAAf32M3hjx90vXK7XkSGS5sWyoQb3dNc5Rh74auat8eJsqQbQgbca+KnOiKogNcgkMF78QE3LKFzjl2qxxtS5Se7yjE2sWvbqAhDJELrFpJMJpFMFpCkzL2P1tH0730ceONXwN+2uZIF3R3Ae+32e4jQrmMHijNuAsJoa1Yopt5mj2fdXd774yfNANivnX6X/V6d8cL9wKFWdwPl6woAti33/j39Lvu32LxUX69Jz2Fg5Fi1rciGyjHAl34X7rXlhePA21vs62p53n2YxjN2KrBrI1xlgN0uidDFlmeDrIhVtVIkgXb+Op1ThiSk4PyB3cDLP4/vekoQ/Y/YES78vBtiBTJ7B/LNZ/13AVjuQvr9Ev0MAc9PkNp8AAuvjrYrRnlYljfFpiIRnfMHucdOnuIO7IYj66K6p+SF1YW00lgqx3hzS17+uT0Wul6eE7rrRWBPs/u3rhXM/ORNv78fqSPQOHVMb+AknNY+F/QmSFIH6OPZB7xdWwh8TVGf0Vxw+6v2/3VJSfHkabEIDJG6uimZhQelVBWb6nFtOM1DbucHDMq0D6XgsZO9b+umeCVOsh0ySo24RoD+J3fCy6j9mihnbD5p4/DWK9DSEKxf5BIVvpHQYq+bks6xuCtLgjPrSvHY1XoYaRVIk0n2wOU6fAf2eA0BkYrKMW74RRdDkOrxhvrX32fnQx7Ync6pOwi0/d5+7fS73PtLJ1qdQ0e8NVBvhC6RtMeyv01fiQaeppDL2idtOJ08+4Dr9eFyTdwLzqWeeoPThkuTe0b2YexUZERguJLB9LuYpmeidNpVlSW9Uk4vPuDtF3viOJzxkE0shcpYmpNcT3DaAn/ZKo5S0FyNGP3TY8dPdYk0t51+F7Dx+16BYkqyJRwXOQxkCOImQbJMnOcnAO5G9ML93k4NstUOGQeduzbs3uTmwnAQccgIITFPpBOK0cgQlCVdUkfXTWMhI03VynQPOXQ12jL/1C8/hmD1AJ277TQJnUgQB5cPovtA4+KJ+ISebvEbaFK1p6o+JI8d2cFcsetFvXKcuC2URVOEZLnrBeIhWp1VAADXq0V9sHl16IHd3vQiwE2r4REYHeafCp5K3zSo3Vs20P3b9aK+9y0G9D+PHWHagrQnIeWerDmJo78lARg7Fbj7Xdfrp8NJlYsuP3i+QsYE9iJp3eB6rRwwUndgt5f86HiCJULHK16VoPw65okkIzf9Lj08dtz7qDJgAwbBIXU93d6+uNwbpNt9kvmnpChfOTrztbxSlOaergaaBLFprW1I3z+5pmT1a9tGPewEB7cZ945079fLP3cPFKoqXj/5jFxDt1HC6knnd4q13tPtHnAv+Id0Z6HJ7u/x2NV6dmsg0jp2qrfjBJc2caq14cqBkN3Qaf4BbqSJwKNp3652x+qHsVNdm9G2sTR7goeE/kvseJiITtZAZh6MJAA6Ep71bIPhBMFpKcMIqPRmEehxClPqQn44PGGWNLjRHjDIXejT/9H7XjJyTshag5Mr9y7QveI4cdw9SHD5Fn64AOLbjFZeZX+vROsGe9Ns3WD/PX2h/Zurxkjt4AAACbYRabixEvihkApyCNTijiOf8G2UoHGQHQRcL9Y9B4BTz/WSu7KkTYDuEeMbPEIfW0EhZQfMxlWO8R4Ejx20w+tkD3jrKt1IEOCOjdJs5KGW7h0sb/qJrvOP7B+3IdMWeD2slBfuh+l3lVa7u4jQP4kd9yjc/a674RDzV4HnN234nvt+HQjQ7k329ci8sgk3el/HK94AZKqVw/4MSqyevlCvvqpkCCzLnwgNGmGH9ORpj4ycTh4ubqj9Qg5ERjsVz/Ocyjg2IwrfLRrt/U0P7rU3zb/9t32KppM5ra3K0Zn3JpGEp+hFt42Vexf4oZA20UEj7HvhSVJnpELHzUcebimkSgURt6y2yR3drynfsB9z7nV6fKedbz+uA3hIWeZ2HtjN5loa/KBOqSq6hJUlZMcJVd4qHWx5+knlmHTXIU3sOCHVY6+bXS/akSZASHPBzSmUnjteVNa2sXT6/EaE/kXs1i9y3dJ88V7wD+6GQi56ibaN7KTe4+Y86eD9yXBXp/PKVHlNdVMyCR9H5RhXv06XpOiVVwGLat0FrKqSSg6yN6DjB72ag0S+B49wH4+biBMyWgP5YP13XYPtFyaPI9fu5qft3/P4QZcwP3a1W8177KB9r/60Cnj5Z/Z7xk4Fbn/Nfi+ft2Mme0Mrum2s3LvAD4W0iZ5xgf06OlAQ6UuWu3NWJ0+kPNzSNUrcstq9X85BL/2+ew6479PpsMQLjCiH2rHpCTctgx6X4Wjd5h7gzhtZ3apKRamb4u2ffWC3fY/ituMSZUk3b/3AbuCeEZn7b6rHrfQFXM8yhZx1JuIxon8RO17SL0v9iShQJSJgv44mGZ0q+AlXF2NGIQQHCu8AGYADe7LnLhzYbY9LJ52+siRw/JB7QlO55nuOuxW/ROLoPrdtdKthySMZN/wMtQwdAXC8Qjc/bYfCyMvHNyOnKXbExOH2V9O5gHBDRDLn7GC7e+rmhwZezbebVZzqGI7lYTpZjESP839zOwHoFeJTrW2ec+dn1wp9X5SgQzZd5z93ivmYJtt0sCCCoJvSgQQdLGSOo1M0lraJZBtkNbqORVY84sAhUxko9336XcCl89nelbaLNC6doksxo38RO5pI0v2+/j67omjwCHcS0Sb0zT0uuSOPDy+e0MGY8Q1GhcEj3FOqqoMGQebk6UDq1i9yNY0A+7plCTyv5iVjTWP8drX7+O2v6hE6B/wNtSxmAeB4GV6435XcoIo4Xi0bl3f1n97x/p2Rx8k2U0KKzUfKqeEbri4kiININTUhpzVCBRVjLvGGXKd+w7UTNAd1mHvk1ZJrm+yj3zUW+r6okC0iQ4cPInEk3E45abod1jlUEk/SUzfh89nzzfKRsIkSGU4JASKsRExV4WjuiNDNZsSE/id3wkv9peL4yquAv74GnPEh7yY06Tb79clBwIhRmZ/D/44DPPygImzUXaNuip2rdWB3esGIxG++yfKTUJwgApRtfBRaXn+frYPGCw1UossUUoqz/F/OH9m3lxezUMsjXmjBm2HTJhUXEVcVUACZ18lFoacvtDcsmo9yLLqQIA6aK/eOzPTwELmmcCZ5Tih0BOghFKsSJyb0tiayrRVdbIUqIrOnydsblgqpyLMvxabbNurVW1Ul8cTz0CicTDniY6faAsU0R6d+Q79xydZo0v4B7mHBb76SmDYvfNRhHmqA/uWxI8hqMJoMt6wGFrZn9kgl4nT3O94kYR1OqlKxWwUyZOvvY4nrCTdcec9B12iQ54ROQnGDh3pUmyI9R/+uGsMMRRokukwnOh1Od+sXiZwmn5N21ZhMz55MkI6r6m39Ijs9wS8vlV+nqnBlTxNL7mZj0bWAAsgsOJAiv5TTyb2qOgnFqsSJAT3WRLFQRWT4QeGbe7zhSfLsc3JOh8IQ2g4WDB6t8Kssp4NQKaQCAF5BYkcoWuDln7vVyoA3FYDuc/uWSC+7VNA/iV0246zC9IX2olG9jtzDccX2+QIB0lIfIm+B51lQ5RBtukRiOWka3ahXqJmTOwkqqKDnZj/jVZQn8FC1DmFm3kqMoEqEJoLAr58KXHiCdBx5aa887i2UUIGum15Hc4qnD3BPMT9wxE2CCFQRqyo4WH+fq59FmxARBK4zNnaqHlV7qpw4nfJpi4XU56M5Rh57Lu1CHjtZFatTNxcehgUyi8Yqx7gkp/4yrx2XqQA63V9qjQb4KwIc2O2NBvBUAOmcidvBohn6XyhWGjHe6zHbpJfdHVSfFzXIW0e9A8mA+YXGiBjQyU5Wv1KFW6pHn1AzjdHj3UoAY6e4CeuAfe2tG9weqzwMyDWRdDFwVNTBq71UwtKA60XlnQ8eu9p7OCEvV5ShvhGjgGMH/EkdgcbIPQuAex/IqwLAkTyJc2OV4UrZeF1uIFQVyj0LRMg58dalP3G2dJS+AN59h/I2/ew+hcx1/R0oDEsC3zK/mEgRkTt6LZCZCqATZGs0gtRi9dMelc4ZQI8QsyboX8TOr6oL6J3AqF4X90mXNpy6KXZFKBULOErkbGO57JtunkXdFO8ikCchAv07zpMQ31QBKHMxiBTw9ly3v+rmQvH36JA7SMSBJzp7fmO6XnbdPd32e4i4c08E/zvKsd2y2h7LpqXe9md+IE+INNCSBMVduSwPcbzdEZFneaCj+0eP0wZFGw8RCF3ynCT5yXXeFJOjFxXkpq/KQeX2XBYi6QTKm/NLs6F5RcU73Abw+zv1G3p5tFQtxMhbT2uKDum8Xdj6RW4Bme65kTGif4Vii63q8mvDE5cxoOshsiYFOXm+HODmWeze5P0cnseg/I4YF8q0BcCg4fa/B4+wtbO47MTYqbbIZarHrVokF76T38RInQ65g0Qc6HQt7xsndRRapxw1TuKoOpP/HfXYpi8EzrwIXjKqgCrHh3tN+FylzSqO+8RDX/waeOL6iw941z5fI6keb/9RCtnqljuYbzoKQfccPVW4XHXo4V1saO7R76CLbIYMw6pQN8Xdu3jKkMqjFWfKEAelNsx+JlOmi3RGpy1wVQzGXOK+hEgdv5+65kbGiL7tsZOnS+kp4KfLXMlZoSfdsJBRXSkw9RuZz+ta+q7CC/fbGnacyJAHhE5tstiFyI9s/n3ZN+3/xx1e5qfVto0uAaVrpZw1Xt3Le/iSp45XZ/Kq36hRf5l9WKAxqHLuVCFwnuytCpHFMRbej5P3hLVS6RcIzTNpR8hrzIk2D7vrkDtYaDoKf16nyAWht4gMD4Vzr6zqd4gjtQaw96w/rbJTHKj3azZ77RQTsPmn47g4+MHWY6fTHjtOzuR84ukodD91zI2MGX2b2MmQiqwg5ZM81zCC6qQbt6HmkGRG5lmoNhadwyvcy5oLkZGhPcCbc0IVVXGTu9nP+BNQMuaqsCuNWZd5yIkYeaVUydCDR2Ren0qeQhKH9YuinXvZch+5XIYM8RFSPbYXhf7j+VuOPEPEY+IoJh2FoGuOXraIDD2vO3ZvAg6K3DO/7jRcGDvu3z4f8DUmc6HJq+1nz2jd0DzWaf5phL5N7MgzQgZLnmYAl9T0VgCha2yfn8Z4Pg9tKoC35F11otGxMITAF3IuRIZ7gRJlrqeFG3ceNosLGbllZXbI4cBuO6lYeicty66+HHOJd77m63EJegx0HfRbejYhlnN37KBNhFQixdKQc8Mfh+4bJ9QcJI9x+6v+eY2y7Rav3KM1GafHPCjyo1vkAshPZ49rf0qCQM/HAcqpywV0eODXquu4ONYvcvt9c1LHD4fZrpP2bJVkWdyOCE3Qt4kd4E0+5Z4rHhrJpVLSL7bPT/dxgFeF8k2eujXwa/PT0dI5vALkFzriTcCzvTbuKl9OashAHdjDKsUSmYQAsMMz2bxcUR4yJEkg2Q8gs3gAyCRw8vRNYyHSG8fcUxW2cBzY7RYoqUgpkLme6DfQYT0FJTKsi8eYkG/Ugf9bJ4LaW2oN4M47GYYF9B0XB1c54F1n6tJKB70VT3FHhMwRjdsRoQn6PrHjC4Um+ehGrz5YLsZWx9g+Kd1nC6sA3o2Fv4ZD1/BKPqGjIMJMYYPncPG5x1scHdgNpw8iv2/SMxa3l0uSBEpyJvIpybXfSVynuZdRha0AVe/WTbEJoA5ekFwRRNpFMTl6YaHQqINuBBXondzxML8qDEvRJdW4dPBo8RxjXriiqjLvDTKHXIc9SwP0fWJHk5zQ050pr0CvyzbZdYztt27oPRlbGt/eyF2cpzy56axfZOec8LA5v0d+YQidc2yoapJ73eiAIPPTeN6dvM86ebkIMgypItd+J/G45x7gzj/SC5NFIORppd69fh44nneoW2unYtMuHv1E9sPkrhfjEWIuJOqgI0HNBTxXWGXTeHSJa/jRwU8Hj1a2kHO2317OU521+mJE35U7oZJqmuSyFQtXhc+nTH/aAnVsPw7UX6aWuHj55/b/ZbiOFoNf6LhQCYSgIKUUyGVPoXS6R3zjlGEIv/sxbYEeeRdca4/y6GgsROpIuobABW4JdD91kd4hFCopFPfcA9z5d2CPfX+OHYRHviWVrvid/o/ZP0fn1k583vS1zhP5rAm/A4j8beIAJ5h+cDxUwqbxKBL36vOK+rhD5tTeUeag5iJzZLpP5IS+67GTavEqMuNXwZcNOrnu/U6psl2YfL1q8utwelWNR8pElPomxMfIe4lSCJUS6/lplvK55H3TwcslUUgOlw5zj76LQkQHdkMpuHzsoDeHVXWd5Lkkm6NbuKiY0PfsZ9TeYl3WZK5rgqqXVe8H7HsXR8hSRer89i9VGJYTHxld0kEOhFfCA969lB7PRs5M94mc0HeJHTfSnW3q1zhNyq3cNhJdNiCOfI10PqdX+ly/94UB1Xikhp0OG0gx4IQVcIkbD5sA3nADz53jsj0qL1cUG1JQEjm6hfZmP+Nek4fUCZLHPR8qyR3ywlIulCzc0iHPqdBDgU45kRK5Hrx52gCQ+Zq2jfFULzsyO4OAYacCEz7v3WsGj7Cn4eARXuFeAp9T8h7Lg34ckGub2zjAv8BPQse9WCP0XWIHeLXC/ECTq7eTAjfWqg0o6rwZvrHKBUzP53otuuWmqQwS17Ar9YWbIXWSPsXyuSrvB8+P1EGEVGeJnELA15PM/1EJLhNUc5GHYimsLgu34pBx4Sg28qCbt7gQOapC8vLChmwLRuC2OFe7rlN0yQ9SjiUXcqbbYVBD9G1iB9gLum0TS0QXfTgrx+Q22XXT3JLVe3wB57uxBiWBUCz8PFG8PZiuBioX8M1HSp1Qzl3laPeUTpDhobjbNgHBbYq6hPakGj4HJ3WUvrH+PjuX9YJ/yFw/KhkXHm6K27sVhLdDN9JQqByVbt7HoGyxJD8yxKuD6LzfwcDkyRWNvk/syoSqvyR1B3bbi6A3hq+b5pbcWOWJp9TASQ+QKQMC5N8STLeOGrs32caWSJwc4+ARwAWz1NdLnlkg7Y3VQIQ0qE1Rh82VH9wA+5B2YI83BzeRtIkczVPZ/qgUEETahY5hsGLkqHTzPhYLksHi8Nsv4gCFwVUHg76Q56kB+jax860uSmuEkdFu25j7iVOHTUiFQlzaOoGSajmcXCeGfFzuuoULKcRHuZ188wFsz1Au3rjpC9Gr+npUbauC2hTj3lzl/Gvfkr6WQUDPcfsxq8d7+MhGGPgc4+MiyRMgnrVZbNqFbikphGLkqHTzPhYL2X0C8I4n1zy2sBDEwUDXfVgT9F25E5osdVPsGy7DpOTFo+fz8XJMW6CH5AktYHkt0xaUXun3tAXuPaJqQyJ1lWMKGw/9DrpIO/AxcqkTILsulQpEWuWGROOLKlwbhEwJSSCoPodIatjg94ZC/oBN6rhUkiR1fgSGqi7bNioq9+5Kdw6IYFwSxUoCyZQU/t64pVzoOvKxzdwe3P2uHnInxWL6QteOqORfxk6NZ+4BwcrM6LIPa4i+S+xIvHf2M4obzrSpCql80kFzC3CNsOpacjHSumH2M25bGQcJ17NalrS9eGQYckmQ5UZDB7232c+4p2m+0TuEvIB7NvUb7hijHF9QmyLPj+KfQ3pXURGF2c+kq+QFuZ5wY6YIam8EZvpCb/s3Pi7SZtQhVzJfTF9oFzOpDky65A/mapt11rIrFqq2W05hXYRrSsJPVJ8OBq0bcv8sXfZhDdF3Q7H1l3kXpxPSS+fXJZJ2zla+OQe65JcUUgXW2+fpkI+WoUhuefXCgPw3j7jDfEFDB/X1oCRy/ARVpX5hFJDVymQrVOkcvRVd6TSuMKBjKCxf26ybll2QNliuRV36FfN9WabH5NMVQ5d9WFP0XY8dP3nRhKkcA6d4wupxCUSh2jnye6I8MfhVgdFGkm9St+z6QIg6tCdz6qQ4ZyHETKeTnayUBPKfOzqorxfaYcLvc7gX6N6R0fdg5rlj1L+SCqwICbYGDuzOfs90GRcHdeNRoZCQt06hsEJs8/SF2bsdRO1V1cUGh4kg0mN02oc1Rd/12AHeU8vuJttgUyUsaYepOjT4IZsbuW2j/XxUxq2YKjAVVN6WKPPR1i8CXnncLSzgTa4Jhcid6HSyk1pz/HryuSYd1NeDkmXQRVC1dYN/tTKBCB8VQGS7ZzQuVZELjSvqyuygi4l0KjootCgkbrsX1rXoWrzDv7dQb69uuqsaom8TO8C+2Ru+5wrB3v6qK3bLe3DmMqmCciMHgWKqwPwQZ3hlT5PbQ/Xmp+0N0QmJwZYCmfhld3PKRYQyqHBhEFi/CHhllf1veT0UnlO1CMoGnUhrEIiTKFAPX35wGz0ZeOsV4Hhax05VANHbJqLKdSKPQtSV2WERBx3mXjEHDZ3CykFdSy7FO3Fq2RWTHqOL7qrG6LuhWMIL97ukzurxVt/59eD0QxBu5KARdDgkrvDK6Mn2vaAQ154mbxL7aed7FzRJ1GRDUOHCIFCWtHXRpMeXe1lVLYL80NfCEXFXJ9L849WeZUmX1NVN8V4XkC6EyWNjjKvIhSOIYiLd5l4QIWadwspBXIuOxTv8PslD3GNX55cKEHRaQR9D3/bYSQNEoRXZlzOfjhE6ne6A4L0ccXlNaIOkqlcO2nAfPN8mfrkK8ep0slN1LuF5XfkWu+iUFlAsdPCs+nnAgcKvS4ciFxWK8ZYA+s29IELMOoWVg7gWHYt3ZHcXv5SHfD4LCCatoI+h73rsVKEC1UQvZf2coL0ccXtNAPuUSaBigF0vwpE9oWrEaQviCyMUAhLApWRt8pYUqv1Vf1mmlhjgzvP6y4K68vChk2eVr+1EWXHXxasupc2IU8uu2GIi3eZesZEUHexe0NeiY/HOtAWuvZMC7SptxN4+S7fomUboux47uVnwvylpGSgs4TLu051K6gRwT2SFeDni9JrwMn/Lch/v6U5XybL+vhf8QzjXEDb4b0lFIJTjWYgh0inpu1jo5FlVFaOokMt1Uesk8lLwz6VwWCE6moUiKIkkHedeoZEUed1LzwWOHbJ7Nku79+D5QFcncPoFdtpE0AfLIG2wLkVJErzoj3LdVftyLtAteqYR+i6x82vMDahP4LlCh6Rh7v3xy9fK18sRZ6URd9FT4+pdL3obeFOOZFky+mrCYsGJKx8TVWkX+tvGZdiC1jzURUMxjLUtw183P+1NCYlyE/KTSOJzMlfouKkWEmKWdi9RZudVUm4lFTRRGgiQKckUFIK2wbSuALWHNg4bSt9HpI7fp0LmTrFpBX0UfZPYhbVR8Jwo1Ykqqj6J/DtlvlahxjVOr4kq90Maz8u+af+fy4WUCmRuCRfALaaRfG/9YsMy3EHnt+iQLxOWx1qGmmhDkykhUSAMiSSdNtUgIim3v5pJ4r432u7jzBGGpzVoG8zXleqwErUNDYNoxh090xR9k9iFtVGoEuDpO2jTzqcQoxjoeGIuBioXPQdtPqUIPj+4jiJ57Ard4OOS0gg6FBd3aG/9ImD3Jv/vqptSuFeV8uzqpgB7mr3hMCJVUXlOgpZI0mlTLdTbytdQKh0RuP1VL5mTpK6U7WycCJpo6hA90xR9k9iFtVFIw8g/O44+ibqdmIuBdNEDXqFiHqYFSkuEcv0iO3dQkjo6JBQTjiVM/Ub6u4ThDAtBHyziPKiUJdX5bkHZDG4vJAGPOs8OCMZu6LSpPvoJ1zaovK3ZNC/562h9tm3MJHOEUiJ1FNoFMtcVPV+q0CV6pin6JrEDwt0o4vaW6Zg7EQTIA0CgVm9ceqIUFywRB8Aldclye3y7XrQ3k3yrYnWQ0gj6YBHXQSVKj2HUBFyFYj1tOsjTBIlpC4CXf54Ov6a13wYMAk4cj/vKisP0hb2na6xfFJ0tDZJo6hQ90xB9k9jxHDu5UQSVexSnt0y33IkgwDUFSVhTVU2Y74LVITF/2gK3GIRIHW/IDRRf7CLbBkVxGg8yFEcVm6rPi+I+hXVY04GA+11PoZ42LuPCQe+PMry8fpG9wZOMEF0Htye9dagBgAk3pt+frsr3I3VcY7MUDtA6dT7hv1Wxe6du0TPN0Dd17Ggy8y4Tjrr1fcEobherBWXggm82s59xtZcAN7eOPB35QpfG2tnCbdMW5L9BTF9obywv3K+W6ChLIjSNtPWL3LUk9bbyVZAnvLJKrZJP37N7U/DjkJi2IHh9Sk7A5edHqdEn7xn3cBApytWGOX1wfd7TtjGa+wVkHnK5RiSQW5h7/aLsla6DR9hhWuf190VrO4LC1G+4qS0qbzR58MJGkHvntAWZ972fkzqgrxI7MlZ8o5DCiMUgTkHL9YvcE4mc0JSTVshmEWeLFj8le8Kuje7vne9vzRd+HEKWckPlG3u+G6oEbWqquRjmxuMnm0FrLN8q3xfut9utAd7QCn0eYHtxw950wjisxUnAOYKWSCLCpFpXQDT3C3BDctIrRdeYy5heedz9DQYNz3z+2EHbo1c5xk6lAFyhdJ3B89DILuxma7Nto3uPwj7o0v7it3c++onCPzuMA1mJo2Bit3PnTvz2t79FV1cXAMDiwrJxQyUxUIi6td9nq069UZE7nq/FJ3SCGe5CwgNxerZUSvZksAEAlrtg6bfOV8gyrlMd31CBzLByIZqDcUPVV7UY2QzyalWOtv+m+0SkjiqHw/QChXlYi4uAE2jzJn1IScTqpqS95HnYjWkLMu8X95KFfb8AN3zPO7rwHN1cOrq8cL8rbbLrRaCiyue77gMOv+0WPZWCUDrPQwNsjT7qmw64vw+fB2HZRLkG5Pfk0vvbDyZ6loG8c+w6Ojpw/fXXY926dUgkEtixYwfq6+vxxS9+EZWVlfjBD34QxnXmBx7+4EKIJDFQzEYad59EWflDpI4MThBVifR3VJ4t1XcTIQIyc64KuRYdEvPJ00p/A8UZ07iq3oKWzeCEgn4X7nWRXjudFf91xO5NbtUoEUpekFQoJnw+nvtF4Icmj8AydarJAXINEcnjoM/XoXNDPlDloQFpDc00+DwIszqb5xkTZP5pIfZKp+psjZC3x27evHkYMGAA9uzZgyFDhjiPX3/99XjuuecCvbiCMX2he5NVydjFGJq4+yTS6ZuMjZTOKMalzcMa0rMVdjhW5VUDgvOg6HKqe/GBwsPKEhTmAzJDEUSOw75nQYZApi3w5jIB7oZdaE/dXBB2r1r6fJXXOIo8Ox42BTLbpRW6oUd9v9Yvsu0brRe6PxldM9LSQrmsL9orVKDfhXe/KXmPEOvFTeMBwo8cUJGLag0AhYsT02e0brBTXlTRs8euBlZeFehwdEfexO53v/sdFi9ejFGjRnkeb2howO7ditNOXAgrtBJ3zha5tDmpI+kMoDiXNp2AacHzSuKwQkY8t48TBcBrbIoJd+uSE6kiQcWI3wLufJCkNYoQetBkmYfFOCgUG9bmk21zL/YgyD9fRYSD+Pxs4GFYIDNcWUyuWG/3K2h7SGkoskhn0IjM1x7Y7V5DLnNG1VKtbopL7irHAP+8P1rbEQS47Usk4fTcBryeu7AOTQRVdS5Vhxdqp/iBjPYuTu5SPW77vlIrdCkSeYdijxw54vHUEfbt24dBgwYFclFFQdXoGnBDpUG4aePUsQtDOoN/Nm97RZXEYZaP8wUPpEPLZYCVypQ2oe/PZ3xxh9loM0okMiu0g/5do9RICzoEIsNFHAd2u2QhaG2qqORw4pJz4WHYjJAl7N+2EJkafr/k5x7YHU4fXJnW0LlbTSwJJP6c7+/KbSrgzRsttRA9SdPQfuG0M/RBWHNR/m5y3yrmd1y/yLULRO7qpthFMWQ7SiV8HhDyJnZTp07Fv/7rv+Lee+8FACQSCaRSKTzwwAOYPn164BeYN4Ku/lIhrh6dhLFT/cvzi1kgsugk4fNbBgm54GUOmt/rc0XQjbXzBSfLQTeB51VvJGPANdLaNoYzF8MgyzKEJ3FgdzhENao+tTzJn3J9KU+W514GDbIVfutJ6r/lit7uV2eacAVtD/l6ykbq6NpyWd8v3O/aU9VBRebBhmU7wjhkTF/otTdkJzgqxzAdPwQ/F7mgvgq7XixsXdPapY4hXCKLz0kq8ulHyJvYPfDAA7jsssuwdetWdHd3Y8GCBfjzn/+M/fv3Y9OmkKugcgHfYPiJOMhQaVyij9IbyYsBRjcG4zGhjYeKTojcPXZ1NB0fZAFAsSfjoBtr5wtVhXZQTeB51VvdFO9BY3RjeOrrYZDlMZe4wtSAa6zDRhRFQ3IO0D3nhD+qg5ME9bHN957J+0Ugj9CB3V6vdJC4+WngHkX4lWPwiNznP43B76CiIh5hRy+COmTQ3KscnfZytmW+5sBuu/MGEE5lrNQaJBtPc4XSh/L9Xjm3af+SKNUe40Ugb2J3zjnn4NVXX8XDDz+MZDKJI0eO4JprrsFXvvIVnH766WFcY/6IMlQaZfgrTOkMThKksHNYYTD+3ZKo8t+w1ORACLK5PK/Qrpti948tZmyqqjc+H8Kai2GQ5ekL3cIfWRhEVY4v/zyc8YRtLzgRlpXEhcjDBAH6jZ0ijgI8QfJ+AcBl33QJa1hzsLf8NjoU5GoPx1zir3QARGd/wjhkZFT97oGyaph+rzBCljx9SKXkUIz26u5N3vknDxqDR4Sf7qAhCmopdtppp+Hb3/520NcSLKYtCEfeQp6eZPgrTMhTZJDSGTThuds+yLChH/pq31vA21xeFhpEqaVXKuBeINqc+eGCvEBheI7DshcAnJ6d5JXg3+OEZUOUBfErDKCwXKGhMH6/orKH/BBTOdoVtuaYcKP9/1xtR9xefdX3BXXI4P1iKdcOlk2sLvsm8+Qmwjlg0HfPfsbdS4jUcYdBodqrsge3xLGDwIPne0O1/QB5E7sXX1QYCYapUzVxe/pJnRQLOgGlejLz7KhHZ1Sng6DDlmGGDf3QF/veEvLNHywE/KAh+8WGkeAdZrEBbUKUFC/z0cL0HIdlLwg0z2Xv47DClYA6t4kfLOqmFCe3QveLHyjD7Fn86Cfcjdwvt69yTOFeSF0Q9CGD5t5gFr62eoQdsvLvGJPPd/OiPCrioDVeqJ3i9lVF6sZOdW1JKXQKCRB5E7vLLrss47FEwtXG6enRIGwWpmhhtvAX4E7ksBJQVWFLwEs4CwVVUNVNAfY0Z3oVdr0YLGGlnMG+Cjk+TsSDqtDmoRbZrioMjbSwiw3KmMGPKh8tCpHTaQuAl3/m7w0HgvfayYpzGh99b6FVoxz8vZIcy+eDAhF8FYolCzog6EPGtAV2GsOB3Ta5e7/LvT+DR9heLfpNgz7QcPJFXncehg2iaYAfeL7uiFHZX9vHkLeOXWdnp+e/d955B8899xwuvvhi/O53vwvjGvNDHC2/pn7D/fywQmxkpFVhS3p82oLijTRvzSPDom0bg9UD4jmDKnHioHTL4uqDy8cntZuCqtDmDdmlTh9/Piio1lKQxQb8cMHnBP1elhXs/YrKXrxwv7cfrmxzGIbm4LQFbkUgEWLuladrKRayHzKfg1xvrljMfsb+XCqq4fp10+9yxZLffiWcQ00UCENzk/QGK8fYJI7rGB47aM+F218NZ4/kgvqS1JGgfqH7Fi/440iIdTThRuCW1YVdf4kib4/diBGZ1UgzZ87EoEGDMG/ePPzxj38M5MIKRhTyFnHITEQR1pMIuzDEr6oTcJPKg/gNScsLUHuZwgjtkYeVkywZBgsiUZnPRVVFX9vG4HPSwiw2mL7Qu7lxQkxrLcgqt9YN0bQIJMJKOWl8TJRTGAYRuWCWW0lPqRXcMxnEd3IpFz4HycsaJHgi/vGD9mM0nmkL3Hyqto2lp10WluamLKCQoD7vYRSLcK+xFNSn+1iol5DG9fLPvI87YVlWdOW8vkTD83kib4+dH0aOHIk33ngjqI8rHGGryAOZzZX55hNW66P1i7zadbw1FXnZglD+p42TCMmLD7jPt20M1lvCPVrkJSQE+RvylkrSy8SfDwrrF9nimESsVFAlfRcCPhf5/Z+2INw2XNMWBNtOTH42zb+wC07qL8v87YDgWwSSN5wTHRoTeTPCsBllSZvgyHsVZB7w6MmZc5B7BoNOyp/9jPtvOfdufzXYDiVRevvDam3HvfociaSbFhJGJIt+Gzo4S0H9IHI8AdeWSjs+/R/dtRWGR1xj5O2xe/XVVz1/W5aFt99+G9/73vdwwQUXBHZhWiMOmQlOgnj+GxBcWC9qXTSVxlZvyuiFfg+dDrmXCWAn2YDymyivjsJF8p4RClX8l1DNRR5yC3ouRlXFnM3TEyQpiULHTgU+z8O0GVEUbMg5GLbEFM01vxy0ID11UQlYA+FW56oEpUlDjshV0GOi387v4JxIFDcuVZEdtxtBe/dLCHkTuw996ENIJBKwLK8OTmNjI376058GdmElgag2HyBzAwrDixElYfVTI6cy+MrR4SVAZ5C6gMKx5Knjyf9A5jwpRrvJD1FoN3KBbCC8KmbeCYD3LeaVvkFuqFH8djzsf2CPWnw5zC4NUcgXhSkZA3jnn5x7YaQcAPER/yBB64lsErd7tJYpzSHIMcn5xw+3QQm0Uz/faQvSh3MechZSPKWYc1kg8iZ2u3bt8vxdVlaGkSNHYvDgwYFdVEkg6s0nSkRBWJ12MOnkbi5Ge2A3UDUm2ARoVRs2ngOUSBTvtaOKTsCbGM9RrHaTClyCRG6sQZIFnqvI4RduLhQUkpJ9i+l7wlDHD5uU8DEd2A0n/4fmPVUtBmkzopYv+v+3d64xdlXl//+eOdjWAs4AQfxXmZmiQoII1DcScDod30iEYoIYVMrFNyQmfw0GnDjpT+QSHC//YCFG4xtpA6FoAiaUEN+YKdMf+CNe+FE0XhKYSxovyGVKUdrCzPm/2Od71rPXWftc99pr7dPnkzRt53LOXmfvtdaznsv38S0ZU2Qun6QIw98nMhJjXzeNO19eY4bh7fvTa8cTib2myf/7nMsloOscu7GxsdSfs88++8Qz6gCzUG/eanR5fG4+WQnlPqr3XAarrPrNI1dhre6ZW1lO/uZniJppBwT4TXa1wxNLT/f3esyFsV9fsmVH/veMRrLdMYSVinncr7nZxPglzIu88/T055iHIc573qiEXU33LZY5Vv0g86dsoyTPak4gPaaRMaSMOtkpIU+PODdrO8cuj03Vxkc1p03RuXwSnzmlvpmaqXszLcONYwKSZ9HHmKZm0tEQuZfw+3njOmCcYHTksbv//vs7fsGvfvWrPV9MqWBLHenilpvP+ER+eVtAcXplRXlL6N3aMJwug+cml2eVoAwVupCGSb+48gYlDfHUHO9ZESE3mePJEz5g8sTybEdkh7rsvsV5eYJs8VRb5y1v1lbr3RKW0msGn3dKueSxZhTZ9aSoyuyic/kkvr2RvnF99r7HZKdu2KoHPlJtitCkLAEdGXY/+MEPOnqxSqVy4hh20rMlBX25+eStJm/LQNi5HnkZkEUZrKkQSqVZjTzPak6ZE/bcg+6K1DyLKCanmw07GZbN+575DrnZ0i2uEHOeRTVSbNv2QtIrmEeI2TaIbZ23vMOVQ1Xz7NlrxorotpEHRcoj2ZXZrjBp3kVXRYbaBtFYKGJMPAwC7vfJs3oZCCP9FCkdGXZ2Xp0CtzaQPJH4DMXmqXHkep+iDNbRS03LF8CfGjmbfANuo47CpnlVhO26sPlrds7dwnx+z4eUSaBRJzuG9Ps5ym4qMoxC2MYJyLeIx+5bLDeFvJ5DmQPkS+eNFL1mSPJuPygpujK7SO8ZD7lZ6+7CfH6pAUVR1F7Sjryf96IPGBHTdfGEUkcuZi7yLrMuQnhZvg/gf/NhOFb2D/SR1C29nYAJ9xLqHOWxAe3Zbl5bClgD6e4JY5f19z4S9uy0vVv8HKm31etJVS76NIIlPto4ZXnO8m4txs9EGsT2ZpcXfK/dV7q/z7BpXsUurvaDckx5VwkWWV08SN6zogm1l9iHi7yfv6IPGBHTk2F36NAhPP7441heXsbx48dT37v33ntzubBSIF2/UluOlbF5un59ahy53se3wSo/u4X5dKjNx0JNTxlznGzYILsfA4gLCOCuPgMSo87HCV9WDErvlswf64es6kOZc5dnaEVuPnZOVd6J8kV6gIqspueBxjU2X+PzGSYN4Wm66Qm3oVAmuRMbHgRdz3keB0H5PqTI0HnZq5hzoGvD7le/+hWuuuoqbN68GX/5y19wwQUXYHFxEbVaDR/72Md8XGO8ZHWgANJCv2XDt8E6N5tUoNol+HxfH+2Vxi4z7ZyAZl2lo4f7D8XaukqE/16Yz9dTR3x7t5hj9/qi+Zp8HugBrdXyzfUktrGQV5FGCF20IqVcQni3fBrJRXmabIowFKRkkU3e+oZAscLLRR6cipJ+ipyuDbuZmRnceuutuOuuu3Dqqafi0UcfxXvf+15cd911uPzyy31cY7yw0IDYvVXzTg4tCt8GKyv2APcC6aO9krxXWWMbGetvwWnnVfW1mPn2bslNADCfGe8hQ7F5y0347nIRQheNXjRpiMvipDyMVpfBCpix+TLufBuSRUUtsl7fp9epSENLvodvT2TRh4uiuq1ETteG3Z/+9Cfs3bs3+eWTTsJbb72FU045BXfddRc+85nP4Mtf/nLuFxktMqzCECJ1gYD8PHZFn+bk5gM0G6z9TvzJaTRafBF7AfNhELOIImvTHhnt7/Ms+j4R396tyWlTTeySU6EmWt5jk5udjy4XsnBC5iP61EWT3vAb9zVLuezZ3r+nUErT2EZC3iFzMohFBhLfXqeiDK2s9/ThiQwROrcjFb67rURK14bdySefjGPHjgEANm3ahBdffBEf+chHAACvvPJKvlcXO3ZyKMMqLAbIU/OtyNMcX3d8ot6RwTJY+TP9bOYyd6WoPAgarK1ynLg59ULR90ni07v11PeMUeeSU8mzi0aRhNBFk95wu9hFdiXpB7l5pgpoSpwXFpKivE4hcsN8eiJDhM59Sz+VhK4Nu0suuQRPP/00zj//fFxxxRW49dZb8cILL+Cxxx7DJZdc4uMa40VuZjJ8I2U78qDo01yWwUoDiN62PBLyi2794jPHKcSpm/j0br20v9nDRG/gnu3J932MzWdVnfSu2s8hv+/Tu2pLueTtVSjaSBjEIgOgeK9T0WuiT09kiNC5b+mnktC1YXfvvffizTffBADccccdePPNN/Gzn/0MH/rQhzoWMh44GIZwyXYA+YSpilyoea1zsyYxXhpAFC/ud5KEUHP3LcA8iBVZ52xLxuNqWeYzb8VnVZ2dN+jqzOCLogSli04gH8Rnv2ivU9EV2oMmHeNb+qkkdG3Y3X333dixYwdqtRo2btyIH/3oRz6uqzzI0F5t1S3b0e8mEWqhXn7GtDuiccdel/2GjEItKkUIMIf0RAL5e7dC5q2wECBrke712be9Lj47M9gUJSgdIoE8xLNfRqQyAD8jmX9Zq9V/rqBCF/keZTfufEs/lYCuDbtXX30VV1xxBc444wx8/vOfx/XXX4+LL77Yw6WVBLuC1C40yCPPLsRC7arcq60CqPTfsDzkosJNdWHevJctwAz0r2cXwhNJ8t5YQ+atFLVI++zMYFOEoHQoQzzEs+8TX3mzVAaQBWRS1xNIXtuXrqdvT2SoQrKihM0jp2vD7vHHH8fKygp+/vOf4+GHH8auXbtw3nnnYceOHfjiF7+I8fFxD5cZMUN2GM8qNKhU+nf9hlio5cRPNUWvJR67fioGQ+lRAeY+yAVVwmKRXhfs0OENHxtrqLwV34t00Z0ZJD4N1lCGuF0ZK599oJwaYr7yZienTa4yC9WkUcdUF35evro0ZF1bv4QqJCtS2Dxieuo8MTIygptvvhk333wzDh06hL179+KnP/0pbr/9drzzzjt5X2PcSI/d+ITZUKvrgNFL8qlyC7FQy/ZHdv4gdeZ6PXmF1KMCmj9P+371ajCEDm/4Mipl9WiR3hifi7RvjbxWFGWwFmmIyxQHkhXu7oVQHiDAX+7g5q3mM5Ofna0VWkYPU6hCsiKEzUtAX71i3377bfz2t7/Fs88+i8XFRZx11ll5XVd5cPWn4yaRV3+6kB4T3/mDIZD5aDwh8371YzCE9ET6MiqlAeQyGn3qk/lcpH1r5LXCt1chhCHu6jEt36vflJSQUkJ8z7xTHOz5CZhc37IXnQDhi2kGLS2gC3oy7Obm5vDwww/j0UcfxerqKq6++mrs27cPn/zkJ/O+vvLQSqm+3xNlSI9J3vmDIU/ehHp23BC46AD9bUAhPZFsZ5b1vgvzvX22LgNIsnjA73MY0rPmC7tXp22w5lG5V3RKgH2teW/moTxApKi1l1JZvsdT1DocqpgmdEpMYLo27D7wgQ/g1Vdfxac+9Sn85Cc/wfbt27FhwwYf11Ye2oneAv2fKEM8qD7yB0OfvF3vZUtd2NfWCaENVmmsAm4DbPPW7l9X5gIR+/Pz6Yn04VljRaKripgVib71rnwWRIVOCfC1mYfyAPnIHZRt3wBRnIbka7uv9Nupw/c6HDrVYVArfjuka8Pu9ttvx+c+9zmcdtppPq6nnPhu7B3qQfWRPxj65A00h41c4cVuryMGg9XXZxuiS4hPWJFIzwjHVGQYzGdBVKiUgCI286I9QL5yB6VRxzVWVuf79oT7XodDpjpQUN31/C8e8CeoHhFdG3Y333yzj+soN74be4daqH3lD4bOvbBDsS5judtFNQaD1b6OvENhIUIqPvT55GdEjxk9JkXJIfgsiAqVElDEZh6qgEfKI9m5g0D3kYvRS4HXF5NWfdJDy/egVmgZi0JCQ0F1+9ngnCtjXniX9FU8odSxN3C7sXc/i0/oEJ8vQhkKxMepLpaF0sdnGyoR2Zc+n/SYSaOuqH6SzImUItkyx67XTT3ketEqz5jfzzNyUUQ6Cj8rjs11uKBcSbevKw3h/d9JnkH5mtQL9YmvddinYHo7YjlkB2Qo9AUMBHaVGycJN4t+HmJOfoYzCB9Uhj58ISeEDMVO7XRfVzev6wrXFMU529Jt3+R1Lcwn3++Fyen05xRiEcn7s5XPwDf/1f+97/Ua8h6TNOpoVBU1tqkZU13uGtfigd7mduj1AjDjuvtMNER3+4Fizi4PO9+ryGeR9wtI59p1C/cNKf5uewMbRslsX5fsJEskG+j/Padmkmt3rYeT0/6dEZPTZi7zOTxBjDpADbt84EPs2gAX5vtbTOUDmpp0BT2o9CzYSd6ACFF0uQDEYCj4+lxDG6x5fraxbKh5Py9zsyYMKmV8+HrjE8U3C9/6dTOufp7BkOvFTU8kn53MM5Z5i5u39mYsyCIuV2gtj77V7bCNU1loBZhCsm6gcUOjDjXgjhFzr2Ruqw+DXIpky3nFOZ/He4ZcD2M4ZAdCQ7F5wQkoFx87l2f00t5OKiFDfFMz6aRuqZJPgc1uTuQxVSzl/bmGLrGX92VtNR1SlM/gULWzkFwMG6qPecXiCSA7F6yIpHxZVGNXnPcKQ7HcpJvChp4boHNNYIUnoxZA70VErtzXmEJrUhKqm8/XHsMdIwBqaHjufI7RzvHk55pn660Y1kPVsVP6QlaQygdITpZO8zBceTJ29V5RD2jeC0BsFUt55ZjEYLDKZ/DvzwNHD5v35f16fSnJ3enkWYxhQ81zXsWEXRAln8GtX+/dYGYo1k6dAIqrzpbQY5cqEOjBuAx5uJXP/K9/aOYVketjp8+iy+ihUUfPHWr+xuhbJDv0ejiI7e26QA27vHBVkPKB6raCdOlp41Hg7/D0ASSn4KJOH3kvALFVLOV1qgvZdYJQ+FYadfRqLcwDG4YTow7o3MsauiAkz3lFQiZ2E46LemZNaQ4zvRU72Jun1Gf0fd94j0bGzHNWE59lv31wQxVcyefFNuqAZF51+yzK9cI2QmjUVdjxxYOX1WdXF6kT6fo8fKc6+JKoISUoaFTDLk/yCoMwnCFPGPLfI2PFeYHyXgBiqljKM1QQuv8tGaq6PQqA+XojNNbh8xhqQyX2vGqqIJzt3BCyF2U5LqD4RVnmOck0h36NoBBI76o07gAj39FP+D5kZbbt8ZEcPdx95EIeWGzxbxp1tVW/XlZfuoNSJ1JS1Do/6O3tOkANuzzJKwwiw0z2YsKFU/Zr9b245b0AhPYCAX5zIkNiG842sotIu+cxlnZenFfjEwAqyYbX8GbUx9Fpxwa5KAPNXUeKXJTzSHN44NPJmHjIkpvL3LfdXXB8zTOZk2lLn6wsGeOul9B56HwtOR7X+Gq1zl9LHi5cRsj4RHp994Uv3cHQh/dBb2/XAWrY5UmeYRCpRE+4oMhJWETYSIaGXQtALwt1aC/QoOZuAekxuOj0eQypHi9xGavSmyENIaC1JzIrJON7E3WRR5oDjak925M1g6/53ENo5GzJKnaf64U0UlytslaWesuzC52vJRkZtYzXek7cPw52HoZLzSvhuSNLz5jQLFD8GPMghsM7r2OQ2tt1iBp2ecJ8GReLB7rzcLhK5+0E5CI0qYCklL+f77sIXbHkI3crFjgGF3lVvMXC3LcB1BJvUK3WvdfNJTYLFBfiI72mOdy4D9j10bRxt+tC4yHbssN4/qd2+vWwypAlDZ+aZUj2EmKOIX917LJkneO8kmsEP+9Onz3bKF1bBZ5/OPm31FXkeuQrJ813rmnowzvgZ5+RHld7fJpjN4DIfBmpJs++qr28lo30ThSVg0PPATcIPsxAbwUUocMqkrxOXrEk1PKz3DDsTvQGjBHQLtQcQ5EB0GwspKiHwFaWjEeo3b3juLI2naI17ID+NqAt1yefz8I8cMdw8jUadZxnRaVuuLx2gDFYejk0xZC/ysIkoPkZ5OfcDXLd4WfDvEQ+AzK9wMc4OaahqlvvjSLFva5boQ/vvvYZelxtbddO00EKQA27PJEGEJDuq9qNAdTO48JclSK17Hhdc/ekQzvdvn9MYRWSx8kyloTatVV34rr8P9BZqNlXO69uWVsFhkcTqZZWdBrmo2fJtemEKAzhIc7egDrN85RpBYTGBosVhqrFCC+7vHZAs+eujNAQavSH7fOwI9cdVEwLMZmG49u7LtctO4e2n3Ur9OHd1z5DQ1jmusv7NTIWRTREDbs84aLmMsq6qcTh74+MJk2igeZclSLEYX0QQ1jFJo+TZSwJtUPVZkmTrCrFTq8p9Ml7agZ4fq8JLx5dcXsj24X5ZPqCa9NZmE/U/otEevldeZ6dwDw7iW1YFXkQlIam9IwC5V23SJ6HHc4r6bFbmDe9xovsXQwkBTZAc15tt9jyLUB6fSxinrFjkg2vo9dezNIQ5v3h/QKSNSoCIWQ17PJEnlRlKJYVaZ2ewO18DmnUkaKT++WJSxaFAOULq0h6PVlmiUgDzZIcRY6LC5pU++cCZId8OlmAQp+8eQ006mzPo6Sdh8NVDCJZPFD8oiy9/HxvbowuL78M6/MZTGl21ZP5+Zp2wVUR0NCkgS0PBWUuSpL0e9iR82pt1Rj4bMXGPEufBXJyv2KlvOx+0m1eeEzYEjWuud5LD+PJ6eQ+LR5IPjPu80DxKSotUMMuT+yQiBQc7UaZXLr8Gyd3Ltj1v4t0+dqVkHKD72aTjyUPjfR6spThM/k7gNlkZQJ0kcjPb27WjI2nyuo64JaD7TcMV4gQMN6kIo07lyREFq1kJ+SiTOxQedGLsp3mIL1btpffvlbbewA0e+5CFALZ98vlGY0gXNUz/R52sjz5DOfRuPN9yJD71fhEOs+OeeG9GOGyxy0QLnqRRxTFtWfZ43O9Z2CGQl/AQDE1k54IsrF3twvs1IxpxTMyhiajbmUpMUyKgJuFvcG7kqRbwY1IlvYDZpIUVeXbL0tPp7UEOR4pTxOi6bXN1EyyeO/Z7vYuDFXd1ddAHH1i5Tgmp81GJKGeHSrmINTqM7/pCTMn7z4zvchPTofzTkxOpzdWXiPHkpUzNDxqXqNxAHS8dpE0umo4rpfyNCHnRT9k3Qf7frXClY4i55XcN3x+TlMziVeQ72V7VvsxwuRnYs+zIunnOuZmk2pl13147iHzb9d8DYx67PLEPlHbru1uX4uehZUlE0ariByqokJHY5e5vy7zFTqpnoolD430erJkZxBp3DH0CiSG90VfyC6oKJJeOxvIe8VnLLQIpyuXjHOitpqkL3Si1ZZHsUze2KE9wGwWraq1v/aCpXcpDoD8e9eFyfNYpNH60v78ekLH5OnPI0fYvtZW86qI9aPVwbyfzzeWedbrdSw9bXLc6ZzZvDUx6hopIXWdSIZmQ6/3ddSwy5M8G3vztRg6YmhPhmmK8pr0k69gL8ox5KFJ5PV0IndiV0XZVX/sxyrHHGqy99vZoNvPxjfPPZj8PTIKnDZuPvvx+sGD/8+qPo+lk4ZNVmhvaqe5xkqL4EpT+Llm7jmfxyx9TV+csy19KCBSJ7ITWqU9hJCXYJqM60DduHdtDrn2mmgLVfM57MZY7BXpQJD5fbJTST+VsSGLrvqZ7w98Gjh8KP21xQPpNA5KSsl2eb5FwDtEDbs8kZMeaD6BM/TVyeYhf8ZuaAwULzLbq7eNXqvnHkpyu/i70sPVzendB92c6NiFIysMffSwO2cvxGTPo7NBLKfuPduT07PMJUtV/Y6aBdaGm2UsnTTsa2MCu3xmqBkJpPuGEm5KcmMmI2PNEgxFVldyDED/3nnON1uHL6S8RL/SRvbv23mW8vd9j41rBA97NO74THWq5jA3m9wrPsf2WJ57qPgDbj/zneoCWQVblYrpESwPz+MTURSbqGGXN/1uHvI0JycHN9dKFdj2jTBeoF48OJPTxnX9nVHgG8vJoiyrfP/5h84NXh90erKcmzVdNubuqec+dkAoYyiPzgahT92E+XU37jN5gdJb87fngWP107M0WOUcapcLGiKp39Xabm7WhICAZL4D6WKlqZ3pdYXe+3/+IZlrd56ezDEa8MvPFH+A6tfjK+dbVtrDlh35X3c7+jVaY0pJmZpJV2HTuOPnPT7RmQdy+Rnj0ZJpHlK2Z/1wNKFKJw98GvjHC8C7RxLRbyC59vXDydoiqdXM5zQ+kfyp1aLw1gFq2MWHNAxldRm9flzQQrh826mUZ7m2bzkI3P3e5IRDZXy6sfn383vjCoMBzYuP3eTcdZLj5tOptE1RdGug5SGcmydfetL82/ZwcEw8XTP8Ir1hcq7wHknvZbedYfLC1dpu+ZnmZ2tyGnjmh2aDkdWzNFoPH6rr+1VM7qH03IXwSPbq8ZXPX1baQ8jWeP0arbGkOUiPr5TvoNHSyXPDdZFrOe+ZrcX47hHg/1xY3L7VTeecudlk/hx7I/kjvY1ZawOfw0olbO6xA62KzRs+TK5KnE4Tu/m7UkwVSL8uULzRQKPTNhA6qWrdelv6/8xNoNBskVW+pNsKN5fCv40MfQ1VTc5NSOQ4v/mvziq4soRzOf6ic7ZcTE6LHLSqEe6W847XO1Q1FbEy5MQNbGpn8eLE9lh4Xxb/23yd47nz9LTXgHl33HwWD5jQEQsnaqtJ4UQRHQyycB0oOkFWnsuwuyS0Hp58/npJU+j39/PA3q94LTRaOgnF8tk9ehg4aX3yNWmIA+bQtXlrcfsWVQGA5s95cjqtCiBDr2TunuQ5bAe9dpEYdYB67PInD2Vy21UPNJ8GQru081Aplx0SQnhMuqlwkx4El2seMCdWLmAsfAnhKSG9avW5hHNlMUa3/YF9YBsNMpRkG21y7NKTwHBlDIuy9G7J3qpAfaOt1LvRLCX/rq2ZsYxPGFHzRl5QxWxWnYbe86QfvTe78txeH0bGwq+BeYgUh05z4H6VdajevLWzyljXnkX4PIbwaDFHE3C3TOPhQF6/zKvr1LsoUyciQA07H9AIcE3adpNE5tjtn00WbxqG9u8WGYrtR8qFv+tKRA2hjE+66YIhk7izjFDZ5sql/VcmsoRzYxmPbTTsvtIyamCMNsDkCdE4lfJBRRcWZJFlqDaopRO6ee2AMepSv1P33IVoc5RVFAJ0Fs6X3nHXfJPeWfnaRZBHmkK/Isd5kldlrF0UR0IZdYDJ0QSanRH8PteGVsZpOyJpJUY0FOsDGcaSoa8929uHLBnu3LPdGHWrx5t/V1ZTFYH0btkhhFYh5t1Xpo06u+AglFHXLVnK/q2IYVxSkNcldtsu/BhDuMjGFULn/aGnCjCGD+eNNDYoH0TjL7S4qCtcnvWsnTaWDpcBSeL21M7EM1eR60stTH9WuyiEyHB+u3WwIc6eQdFC2aTfNIU8RI7zhGs750WvlbF2UVxoeIhbX8/r5gGVMGVGhlsnp+EU+QbM69iMjEUjc0LUsMubLO0wmSvSropU/uw3/9X57/pEnmicYqptjMxWpeNSxTtGmIfRTUg1FiMISG8a3aqv95oj5ZOsBt8Nau7+ynZzemlAhWxOz8OPvCcuiSPAbEacd0CSAjB2mZEBkePuxIjygd3VQB4qOjnM8ZnN6g1MQ75WKz7XePTSZqO1mzSFVikgIQwEfn68funJ3ry1/eFvbtbkcpINlhEU0mC99P+ar3HeUN8RSMKos6PJnztPR6PXMn+OHDvcPC65p8VSKAcNxeZPv9phtmHIHp+2oRiCXkIQNz0B/OCjwOFlMwFkDhDDSxG5sVPMzSYVuwz9dAq9rLFUxvZSnRhTuEhiC2avrRoNLZeXa2TM6Ni5cu6AdL5NaLgGMGdTkjJ06vOHVeV8ToF0ykSokKV8v17C+VnGrTzohsj17CdNIaYuGvJ9+ZzcuM/sOTTu2q1jrOLmYUpGZ1ilvrYK/PqHxUu5kF//MD2X+O8sZwOQFvnmz7vmY8j5lYF67PJGerbsMNaN+9pPWhqGN+5z/G5gd2+vIYivvSBCKhUzGe5YMcZSKK+dFJS2+cFHgWd/bCY+J3k7ZNg2hupRoDvP29ysCf3bRlAMYUteC71B1NBq5JuJ/DkguX+ssszafMcnws0tO1xOz6LcRJpCkqJvNL0P0qhjykQMHslewvk0bgFzH/m3NOpCHpp6GVeM/bKlJ1v2la6tJlWuLo/vnu2J7htgPJi1VfMsbt5q/p74ulFACLFuPPW9ZoOM2EZdpZoUKHEPZrXvhuF0ioPML2cahIZiTxB6CWPRMMyqmAq5kPUTgrjoC2hsRtTXApK/uQiEmPRZCy29jJRlIVkLBGByLbghScX/kHQrdyL1+uRmJe91DIvY5HRikC3Mo5EXMzKW7h/LewK4PUDSWxHaSOB9+e9708U3nB8pasbbIJ9J28Dg64Y0gnpZBzl+Vz4kECYEK+HhxzWuVhJHrly6UOLEhGFzOwVowzDwzrHkb3ld1EWUxt74hDGCZDU6veC3HAxj/Ngi3q0YGUvEwC/6YvNhdv1wWkOW6yhg1pUYIjN1NBTri37CWDGHwOT1tQtByLDDUBWp3Cfp3mdz+hDGgl0JxQrLw/XydZ5AXWEx6cbnz8nkXKrihzSCeqlOlN+X1dyRiXACMLIYsgJU5tfx/tz0RPM8im1MrISnRt3YZcnXb9wH3DGCVO4P0GzsyUIreU9Djq3XtWzsMlPpa/9uDHI7MnrB9YvzqZ2obz/haV9kpQBV1yfr3q4LE+OMRp3sSsHD8dTOtAeTY+RnEWJ88oDQqvCNOpjyegHzufBw30o2KoY1pI4adj7IqnoC2i9q/fxuUXSar8UJLxc7JnjbkyzkmFwLLWAMN5dRB9Sb0de9chtGgLffSksFMK8rJK6WVUDyt9RAs4lx87FhzmcDIcwLJOOSnUDoJbbzXmPwPgLJ/amtJf+urRlF+4bh6qLuBR+fSIxX19wKRT9rWcz5kFkFcpxPWf1rZQ5dLzmvPmFBkuw+UV2XCMvP3ZOsg+wa1DDqrHvLe0rjLoZDkzwgANk5da5qXvn8ci13FbwA8awhdTQU64Osqj2Z85Llqo+tYspFp6EVVzWwa1GMAZkvUxky4S/ZHcNm8YAxHlaWmiuFadiGNO6mZkwI3VWd2MqwiVHqRCK9Jo35JgygSiX9DHIDlt0qQlSMupCbiGxlxHB+JvWQLD2SMc2tXtfBudl48yGBdB60rDaXOortcuhiqzafmjFrBNfA1ePZkjP0nMawH7ViaiYJ2wOtCyWIq3ONNMZdhE6RcqAeOx/YVXv2A0GhW5sYK6Zs7E4GcpxA8zXKDgZ078vfjWFhkILSlaHEW5KleA+kPXic/CSPjhx5IzXBbG8Vx+dq9B2DMn4WthFjzyeZ32iHymRnhxi6TmSFhOkpaVD3zpHqemD1WPIzd56ejCemudXrOjhUdX8vltC5nbYgPW+3HGwf8o811UYy/olk/rjyUu0Dh9wT5GchBY5De+1WlpuNOtmek1C8XB78YqmW7wI17HzhCjm0W5jo4ZG/D6R/LyRSoZzY47SvkYtgI2dDeH5iWcSk56dWM2N0GXWViimokNWyvXTkKAoZJgLSi5bLuMtDWd839JqsrQKvLzXfK4bJ5cLNzUgadaElhAC3Z4v5dgzNAmgYdVM7kyryhqTEsikYiW1u9bIO9vI7obAPP7uvrBfi7GxOYwDat/iT/y96HHKPmbsHTQcJiWybyMIJwKFvGkGUaWom+czfej35/7tHknnT2MvEOHlYYkpHDAe/HlDDzifd5inFvqBxA2LuD6+RUC/Mpgyen+r6zuRMajVTKDEylvz/NJFTY59YQy9q5MZ9xqsDmIpRady9tpgsglmyNtI4DI0s5MlqUyf/LVsmscpSevKAcM+k9GwxF7CRb+fYXBcPNAt+c1wxzS3SS75mGXI87bWZRhsNN5nGwLkzPOo2Fji/XtofZozycDE57W4NZrMwnxygiMsLydzP0HzpyfT/ZRGIXAdWj9V/oBbPwa8HNMfOF9RHc+UpdVoO322XAN8wD4MTws5FoBilpFupjaJZqxs4nNCt5EwAk3O3YRgY/kCi0ceFyzZggfCeLfLU99w9HGVI5fTx5O9+lfWLYm427UGWOmeSxQPJBiSlM2ReU+icLSCdC7jrQhHitz0mlXQuF5Bc/7dei0dj0EWn+ZpSV9L+HX4/BlwHbhk6Zq4ar59G0Onj7vxHGhrnbCtqBGlkjt2uj3bWGqy6PvEWLx7I3qcWD8T3PNppHDTIJTz4xTynWqAeO1/IilA5wTmB25XDx1QxJZEnaTsXwZ7YZajwnZpJ/nRSTciFYGQsMerkKTDmvBkpE2GPkcYBT65A97I2oWDuICDGJj1clfQCvrLsvj+xjOvGfYlRx64szuexPjZbjFhuVrE8d5JOvfYyHQVI/04M6Sjkpf3Nnjd7bQOsA0PFfY+49mRV0xaF7ZWf2gkc+H+Jlp2L1WPJWF5fTOYWscO6oQ9NNq7uUBLua9KrF9sY2qAeO1/YFaHd9HyNrWLKhmOTYT2XmO3vH3Q3kI6pwpfcuK91w3F57y76QmujDkh7XkPfPyl5IkMnZGRMhCOERyT2qljJ+ETdYyc9XLWkGOb1NpVwMSGFvAlFim1oCMjnL4YONTbdeO3lvOHvsCApJs7Z1ux5m5tt7qDD3MeR0XROLo27O083hhR1L0MhDwdAcn1ZRh2QRC1qtcSosyM4qe4nkUQtiKs7FNm81Xi/Zag2tjG0QT12vsgSfJThllsONv8eT+wxen4IxyY3IJmLIK/5Y9e7XyOWsRBXrpZE3ks70b2VRA2/HxLZSSLLK+kq0Ik5NxIwnzvQfOoGTN4ZQ85bdjRrFcZyGmdF/JBlnFaqxovSEF4WPZZlpTlfJ6ZNqF2xwMJ86xwsu/gglrXQFXlgz9SRMeDwofTBlx4thtA5D/kzMSTpM8+uVteDzNROrHP0cPreugrkYkaqIRC5V8vK+jKMR6AeO1+06vnKyb1ne/p3aNRJl3xMnh8gHdajICyZu8f0GAWMARRLXkwWHFOWx44FFVlu+dg1jtp57Ki4LscWe24k4P7cZT9HCY12u2IvltM4Q5BSPoeGHMN0jf63NfOs2ir/MWjy9YPUsHN5i2PIhyScV1LHjrnGDQNcIPun2sQgqcE8u5aC2BnYh8A92+Nf91kkxt6wsrIXSA6CsXm/O0QNO1+06vl6y8F002Ug+debkvYAABF6SURBVJtGne3Jiyl0mTISxgDU0pWk0iO0slyOzYYFFNJjd9J682/ZLzZ0j8pekCLF9Bw07pnYfBbmgaWnjXFue1liTCSW3mEpY8J/V6ppb488nccKDZtt3zBfoxefYSJZDRuLyr+Lm55oPhTIQ4PtraOGnSs3mUZvLPOPnnDeA1vmqGJtr1mC0xuG45tXWbgOv7/+YfoQyP0h1RUmMmRETeYH2sRwMO8BNex8svvKbK8HZTMW5pNWLZz0DYFLcdqJRZwYSIf1mBOSVUlKQzVLAiWWEx1DKGRkDPivl9Mna46F/TvLxtSMyTVjZa+dk7ZhODsPtJNOFSGQid5bv26un0adDHWR6rr4PJA8MJH576e9d5IYvDvd0E2lfz+5yUXDAyGfNVa/ElZg2+uIzdHDcRyapMHt8uxLpGecB1+7iCeG7idZMKImu/LwgChbpu2+Mux19ogadr7IEvPlA7N4oNkgWlkyUgey9UxMXi/psWN+RRb0gj2/t9lQjW1MI6NGY4oeU5a7D4+aStgYjOteGf6AGZ8sfgESo+6sC8wmbEudpJLzI/kMOMdoJEzNpI2ebd8w840brgzFxrCZEnpV7RAkv0aPvdQHo4iqbajGdGginRbiuHKTYzUUZE6dPZcIn7UsfUx6wGI4NMmc1ZVlK62hktbv/NZrxvg7ab3J9+Q6wb6zMR0CJYyoycp6IC1zAsQp19IBWjzhC1di9+R0Iu4LAOuHkyiYy7ijlysmcWLCTZ2l4K0qDqWIKt3yMY7JFq+UUAJkEOA4uXnKcOXRw0mlH5P4s5TzY0rOt4tWXDILjZwhNIuR8msxbT52CJItBrm5cMzMg6KnCDAGebsDVwg6LcSR91Qm4/O+xXKvbANUFhvQg8Vincahgl0N6khP5MJ8+DQPvvfcrKPQqpbuuMN7AySVs3Y4OrY13gXXupFRY8hKmRP2AY/lmesCNex8YU9QuUnKSSP7jgLm9DP//XTvx5iYm00e+teX2jdVliK4dq9YpXhsTTtutPRe8Xm0PUdsYRWTwWDPMVd1sjxt12powiXHEwrZ8cPub2u3d5MGAe8djdjY5tfs2cCxN4D170n+f9K7jWH93ENJq6d3nwa8tZI8fxd/sTwV2WxpZ+fnXvSF5ojNqiUdQq8W710swt/Si2U7J04bA4783eiXbvtG8j0ZjqZHOab75UJqJnIuVcTYYwv9d4EadkVgCw5LbI8ddYPs3o8xwQkxPtHesKP7Xp7oYhzTiQLDztJQ2H1l8v+T1puuGrIgYfV4c7V2jDQdpmaTYhC5OUnZoVotntO4KzdJCsZyk8kSwpa9f2O6R099LzHqAPM3kRI1jZ85DDz7Y3O4iFXySUYuKChNj907x4Cnvmv+XxlK9/yVgsvM54qh/zLQWrhbeh+ZBmDr9pFWBQkxMj4BLP9POYqrOkBz7IrAPn3+7X9N5Z6NzDtj78fYcmaYh2WfSF3Qfe9q5aQUz1A1e9HloUIeNmTuUGgB1W5hhSWQzvGSRlAMmymQlkeShQZ2GzfZ0xMw42oUi9TiWis4rlbi3zYyGR+IuyKbfaYZFm9QN+pGxoDhs82XWRDCw8bCfJKeE9NzOD7RbNTxHpDN9WfQ7lVMVpbiulcu+GxyvkmjrqQhWKIeO59QAFF6Rxi///vz7n58fJhsF3hMIbBWnLQ+rVbO0HLMp+8TCVfup8xDy4KLH1Ce+yZFZJm7JiVRYhqH3NhtD7/M85yaaW6DJA+NiwfclbSh4Lgmp0W7tA6QhwgaUFkV9qGwZZKkeDRZWUpXmLoKQFwpAqHIMjB5DxilsfMK5V7G/MKY7pWLqRmzR5PquqS6nvMrppziLlDDzicyZ4abyI37gO+MGq+InVBLFg8kYaQYaQj6jqa9P9X1zS1o3jlmTutykpTNSBgUXLmfdnpA5u9GoqXYCiZET06bf8sEdxp1bP7dqutBKNrll9ldD1p134iJWw4m0k6dsHggedZkHtSWHXGtF0NVY7g11kGHkVZD+h7t/47Jnwbin1NARpeXjA4VjT7GJTCIuEcDzRXz7XqHR4wadj5h+ETmzOzZnhh1NOhcRh1/B0g8XhO3xTX5peQJYHJIUmOpT3jm2NntqmIuhT9RmJwG9s8aI0KeVCUjY+b+xb5Y0xBgiEvmBNnhMkoZxGQsZOXQAdnXGWvbLZtdF7b/Gdlya0F0QIgxv7NdSzuO5XDd6JucNkZd2XKNZcVsquDPYcgybA7EP0bpLWVPYhnJiKWgpUvUsPMJXb1A/aQ2mxhAUgCxHf/1st9r7IWpGSPcKBPwZTiPTa+5ALBKKka5kxMRhiCY1M0wng1D6TTugLjvm+3NanhTaukWXZyDMR0uXHPD1ZMUMEaFDNnK+xLTuIDOw7CpnxGbboz5nTR2snLJZBX52mpyqJfVo7EdKjph+RlTYJUlTB+7hh2ROphAc/SiDJW9GWjxhG+WnhaaYfVNdHwCeO7Bzn4/xgRUWxgWsBJrt5pKWPk1NeriodEnUSS1u0IPDKW36iISGyzuAbILRbhox+SBdMm1AO6WgrxuO2Tb+PmIxtVNbp2LGL11JNU72wHXeZmW863XTM5qmTobyMptl1FHEeZGikBEz6ALOd9sAe0ypJ20QD12vmFiumxx1GkujJSdiGlhc21AMiyxtmpKxzlmmVcS01hORGxpDbtPrg2NujJ13lhzJLJzDo5fFue8avXZ2tfZS8g2FLW1RJB9wzBwdCUJkWd5e1ywwjK2cQGOtBS7OnQ5HdqjPiF/PsZ0gCzkuj87mkjTSN53oQnDLszHPyY53+y8Vvv7JUMNuyJpqpqq/9u1sVJTLMYQmOuBZ9h5qJr8kZNEdjiIZQwnMpQ0qNWyk4RHxpIw5uKB5N8XfaFcC93yM3Amd8tQbFlP5N2EbGPga39I/39uNmkzKEOVWYddro0xjgtIi/naot824xPNOnFAeZ5DGXq2jTrAVGSXzdtVpkNSh6hh5xNb5R9AOtm0/m8adUPVJFlz8UASApO9+cowUWQFmy3vAhhdvpJOloGhSTIjo7Jtyw5jAJXFqJubBZ5/OPGUtKpsK3H+TMuQLb8fM3yWqNnZKoKxsmTuY4xeIB6SWKjjMg44v+Q4yxq5sKV2eGiXBngZiqxI2Q5JHaI5dj7hAjx6aXYTaHLSeuD21xL5BZ7kmKRaphCYRIYcgDhFRk9UJqeF0G2GjhY30jI9e8vPmLy6VB/jivknveBlfQ7ZwNxFWe6XLXvUan2kh3XsMv/X1S1TM8bwzDTWrGrsslXEStZWk7A6kM4XpAMCKJdMSDd5rSVCPXY+kW1nXDklUsNu4jbzdT5kzz2UGHWtmtTHRFb5vww5yGrgsi5ug0Kl4v46K97KlP9DpMQQN5vDh0zeEz0LZQ7FDgo0AJpSUeoeLil2XqvFa7DaxgG9QPTkLT6dzrtjo/lY2oh1w1A1CcMyXxBIe7jKJhHSTV5riVDDzje210qyesyodNvGDit1yoScJJR2yTqd6qYaFj6X64etfJmKye2knliZnkM+g5TfsXNXKZtRpvDyoDJ2mQlh8jmkgcRKWuZ6xuitI/Zz1ErfbvPWxJNcJq+WpJM0AJ1XwVHDzjecwOMTwN8PNiedst1MGXR/OkHqo9nK+U99Tyd+LHCBXpi39OtqplhiqFreZ/KmJ4A7TzeeEinAXKYcoEFG6nzaocxbDpr83Ng6TrTDpW9na5cyfFs2j/iAergGDTXsfDN2mZE8cVUS/eNgsyZcmZF6TSztZ69OLt5KeFhAQaNOyjSsLJm2XGWFYrCkIWFQwp63gwyNO1cxC9ePMh4u6DGWhRXL/2O+X6uVOodLiRstnvANTzgL8yJBuJ7bxFymmAU4u6HRrHs0fRrl6ZQinjylK+GQ1W2bt5o2R6TMxQUy/WFqZ3NYTDfUuBiEYpAseMCV0k+k7GNTokUNuyJYq5eD04hjlRSrXinAWXYY3ttyffL/uXuAu880Rl2tXvI/VG39Oop/WMgiK/q++S9jBJVFYsfG1gljrmqTcacbquIRqhvM3ZN4j6We5+atyfcVxRNq2BXBUNVU4t1yMDm9UbD36OHBqdCbmjHj4EZKoeLxCROaGATvZNnJkmmgEcRwbNmgwWqnNnBcg5LLqsSPjFZIo47RDEXxhObYFYGsJLJbl7A8fFA8CBQplr0TV4+nw35KHJRd6NZFu+RuPVQoRcE8Oxp11XXpvOOFefXcKV5Qw64IZJWUq3VJQyh2AJicNoUSm7eanrFA8n/dWONBK9wUxT806qgQoCieUcOuKAa0dUkTjQKKsWatpoX58gpzKoqidAPVEIBEagdozv9UFA+oYVcUgxj2crG22tyjU2qILcwPlodSURTFRh7kgeTfsupcUTyihl1RnChhL+qj0bCrVJMQREoEV1EUZYCxD/Lz3ze51Vu/PjgHeSVK1LBT8odGnawIY86dViUqijLoyIO8XTBnf19RckblTpR8YTeDqZ1GmJPSLg3RWF3UFEU5AZAhWepElln8WykF6rFT8qWdtIt66xRFORE4UQrmlOhQw07JlxNJ2kVRFCWLE6VgTokONeyU/NGTqqIoJzonSsGcEh1q2Cn5oydVRVEURQlCpVar1Yp+0zfeeAPDw8M4fPgw3vOe9xT99oqiKIqiKKWhG7tJq2IVRVEURVEGBDXsFEVRFEVRBoQgOXaM/r7xxhsh3l5RFEVRFKU00F7qJHsuiGF35MgRAMDZZ58d4u0VRVEURVFKx5EjRzA8PNzyZ4IUT6ytreFvf/sbTj31VFQqlaLfXlEURVEUpTTUajUcOXIEmzZtwtBQ6yy6IIadoiiKoiiKkj9aPKEoiqIoijIgqGGnKIqiKIoyIKhhpyiKoiiKMiCoYacoysCzf/9+VCoVrKyshL4URVEUr2jxhKIoA8e2bdtw8cUXY9euXQCA48eP47XXXsNZZ52llfiKogw0QXTsFEVRimTdunV43/veF/oyFEVRvKOhWEVRBoqbbroJTz31FO677z5UKhVUKhXs3r07FYrdvXs3RkZG8MQTT+C8887Dxo0bcc011+Df//439uzZg/HxcZx22mn4yle+gtXV1cZrHz9+HNPT03j/+9+Pk08+GR//+Mexf//+MANVFEVxoB47RVEGivvuuw9//etfccEFF+Cuu+4CAPzxj39s+rn//Oc/uP/++/HII4/gyJEjuPrqq3H11VdjZGQETz75JF566SV89rOfxSc+8Qlce+21AIAvfelLWFxcxCOPPIJNmzbhF7/4BS6//HK88MIL+PCHP1zoOBVFUVyoYacoykAxPDyMdevWYePGjY3w65///Oemn3v77bfx4x//GB/84AcBANdccw0efPBB/POf/8Qpp5yC888/H1NTU5ibm8O1116LF198EXv37sWhQ4ewadMmAMBtt92GX/7yl3jggQfw7W9/u7hBKoqiZKCGnaIoJyQbN25sGHUAcNZZZ2F8fBynnHJK6msvv/wyAOD3v/89arUazj333NTrHDt2DGeccUYxF60oitIGNewURTkhede73pX6f6VScX5tbW0NQNLjulqt4ne/+x2q1Wrq56QxqCiKEhI17BRFGTjWrVuXKnrIgy1btmB1dRUvv/wyJiYmcn1tRVGUvNCqWEVRBo7x8XE8++yzWFxcxCuvvNLwuvXDueeei+uuuw433HADHnvsMSwsLOA3v/kNvvvd7+LJJ5/M4aoVRVH6Rw07RVEGjttuuw3VahXnn38+zjzzTCwvL+fyug888ABuuOEG3HrrrTjvvPNw1VVX4dlnn8XZZ5+dy+sriqL0i3aeUBRFURRFGRDUY6coiqIoijIgqGGnKIqiKIoyIKhhpyiKoiiKMiCoYacoiqIoijIgqGGnKIqiKIoyIKhhpyiKoiiKMiCoYacoiqIoijIgqGGnKIqiKIoyIKhhpyiKoiiKMiCoYacoiqIoijIgqGGnKIqiKIoyIKhhpyiKoiiKMiD8fwri8aoCRemxAAAAAElFTkSuQmCC",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.subplot(2, 1, 1)\n",
        "plt.plot(x_A, y_A, \"x\", label=\"time series A\")\n",
        "plt.legend()\n",
        "set_params_plot()\n",
        "\n",
        "plt.subplot(2, 1, 2)\n",
        "plt.plot(\n",
        "    upsampled_stream_pd.x,\n",
        "    upsampled_stream_pd.y,\n",
        "    \"x\",\n",
        "    color=\"#ff7f0e\",\n",
        "    label=\"time series B (upsampled)\",\n",
        ")\n",
        "plt.legend()\n",
        "set_params_plot()\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "21",
      "metadata": {},
      "source": [
        "Now the two time series have the same sampling rate!\n",
        "\n",
        "Let's zoom in to see the difference more precisely:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "22",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.subplot(3, 1, 1)\n",
        "plt.plot(x_A, y_A, \"x\", label=\"time series A\")\n",
        "plt.plot(x_B, y_B, \"x\", color=\"#ff7f0e\", label=\"time series B (raw)\")\n",
        "plt.legend()\n",
        "set_params_plot_zoom()\n",
        "\n",
        "plt.subplot(3, 1, 2)\n",
        "plt.plot(x_A, y_A, \"x\", label=\"time series A\")\n",
        "plt.plot(\n",
        "    upsampled_stream_pd.x,\n",
        "    upsampled_stream_pd.y,\n",
        "    \"x\",\n",
        "    color=\"#ff7f0e\",\n",
        "    label=\"time series B (upsampled)\",\n",
        ")\n",
        "plt.legend()\n",
        "set_params_plot_zoom()\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "23",
      "metadata": {},
      "source": [
        "The new time series has been successfully upsampled: the values are sampled at the same times as the time series A.\n",
        "Because the time series has been upsampled using interpolation, the obtained time series is smoother:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "24",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 2 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.subplot(2, 1, 1)\n",
        "plt.plot(x_A, y_A, label=\"time series A\")\n",
        "plt.legend()\n",
        "set_params_plot()\n",
        "\n",
        "plt.subplot(2, 1, 2)\n",
        "plt.plot(\n",
        "    upsampled_stream_pd.x,\n",
        "    upsampled_stream_pd.y,\n",
        "    color=\"#ff7f0e\",\n",
        "    label=\"time series B (upsampled)\",\n",
        ")\n",
        "plt.legend()\n",
        "set_params_plot()\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "25",
      "metadata": {},
      "source": [
        "You can now combine those two time series.\n",
        "For example, you can compute the latitude by taking the average latitude at each time:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "26",
      "metadata": {},
      "outputs": [],
      "source": [
        "average_stream = upsampled_stream.join(data_stream_A, pw.left.x == pw.right.x).select(\n",
        "    pw.this.x, y=(pw.left.y + pw.right.y) / 2\n",
        ")"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "27",
      "metadata": {},
      "outputs": [],
      "source": [
        "average_stream_pd = pw.debug.table_to_pandas(average_stream)\n",
        "average_stream_pd = average_stream_pd.sort_values(by=[\"x\"])"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "id": "28",
      "metadata": {},
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.subplot(2, 1, 1)\n",
        "plt.plot(average_stream_pd.x, average_stream_pd.y, color=\"green\", label=\"Average value\")\n",
        "plt.legend()\n",
        "set_params_plot()\n",
        "\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "id": "29",
      "metadata": {},
      "source": [
        "## Upsampling: Late and Out-of-Order Data Points\n",
        "\n",
        "Standard digital signal processing systems assume robust sampling and would deal with out-of-order and irregularly sampled points by buffering and delaying the response.\n",
        "This would be a problem for many real-world data applications in which irregular and out-of-order data is common place.\n",
        "The system would stall as there is no way to push a late point through the pipeline.\n",
        "\n",
        "This approach is impossible in a streaming setup where data points can be delayed indefinitely.\n",
        "The best we can do is to do the computation with the information at hand and then update our results whenever late data is received.\n",
        "This is exactly what Pathway does: your results are kept up-to-date with respect to the latest available data.\n",
        "You can see how it works in practice with [our example about the Gaussian filter](/developers/templates/gaussian_filtering_python)."
      ]
    },
    {
      "cell_type": "markdown",
      "id": "30",
      "metadata": {},
      "source": [
        "## Upsampling: Conclusion\n",
        "\n",
        "You can now use Pathway to do signal processing on multiple data sources simultaneously, which is one of the common operations of DSP.\n",
        "With multiple data sources and filters, you should be able to do most of the common digital signal processing operations with Pathway!\n",
        "\n",
        "If you have trouble implementing a DSP operation, don't hesitate to join us on [discord](https://discord.com/invite/pathway) so we can help you!"
      ]
    }
  ],
  "metadata": {
    "jupytext": {
      "cell_metadata_filter": "-all",
      "main_language": "python",
      "notebook_metadata_filter": "-all"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.11.11"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 5
}